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ƂȂg`PbԂ440UĂƂƂłBlԂ̒óA\wc
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₷Ă܂AȂ12̏㏸ŁAu12KvĂ܂
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STxƂ́A݂ł͂܂ʂƎvĂ12KiL[{[h̍
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́uv̐ÚAȂׂ[ȐɂȂ肻łBȉ̂
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@@@@@@@@@@@@  2
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ƂȂ܂Bɂ̔̉A܂uZRxv̉̃sb`́A

@@@@@@@@@@@@@@@3
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łBāA̒qŃsb``̂PIN^[ủƂ̂́A

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@܂Auv̐UƂ̂́AuQ12捪vƂƂɂȂ܂B
́AdŌvZƁA悻

@@@@w1.059463094....

ƂȂ܂B

̒PʁFuZgv̓o

@āÂւŁuv̘b̂QڂقǂȂ̂łẢ̘b̂
߂ɂ́AƗ₷u̒PʁvKvɂȂ܂BꂪAuZgv
PʂłB

@lԂ̊oł́ÂւiUjlꍇɁAuvƂ֌W
AZŹuav̕IłBƂ낪Å֌ẂuvƂ
Z̐EłBŁAʂ́ufVxvƂPʂƓ悤ɁAuv̊֌W
uav̊֌WɒuPʂAuZgvƂ킯łB

@uZgv̒`͖mŁAuPIN^[u1200ZgvƂ̂łB12
ϗł΁Auv100ZgƂƂɂȂ܂BS200ZgAS
Tx͔VłA700ZgƖłBӂĂق̂́AZg
́uv\킵PʂłAΓIȁuwcv̊֌WƍȂ悤ɂ
傤B

@uZgv̊TOoꂵƂŁA܂ŏ́uvoĂ܂B
́Ał͈ʂɂقƂǑSẲyŎgpĂu12ϗv
łBȉ̂悤ɁAIN^[u12̃sb`̎g̐ݒ`
܂B

-----------------------------------------------

[NO.1] 12 Equal Temperament

 0 
 100 
 200 
 300 
 400 
 500 
 600 
 700 
 800 
 900 
 1000 
 1100 

@PIN^[u𓙊ԊûPQ̔ɕBǂ̉Eǂ̘aώ
߂ɁA]EڒȂǂ̋@\ȃ̌nɂ͓s悢B̔ʁA
̌Ƃ̂ȂAFłBSTx͏ȋɋ߂AR
xƂ̖PSZĝɂƓ̑B

-----------------------------------------------

@́Au100ZgvƂ`̂̂łBȍ~ALƓ
悤ɁA낢ȉɂāA`ŃIN^[u12̎g
Zg\ÁůȒPȉvoĂ܂̂ŁAQlɂĂ݂
B

@uZgƃwcƂ̕ϊv̂悤Ȃ̂lƎv܂A
͂̍ĺAłɊԈĂ܂Bwc͐ΓIȐUłAZg\
Ă̂́A܂Łuvł܂B100Hz200HzƂ̔1200Zg
łA10000Hz20000HzƂ̔܂A1200ZgȂ̂łB

@uUƃZgƂ̕ϊvƂ̂AƂȂ܂B́AuP
IN^[u1200ZgvƂ`Aɓ܂BZg̐U
߂邽߂ɂ́Au1200ȂQɂȂvƍl̂łB܂AZgƂȂ
ÚA

@@@@@@@@@@(x/1200)
@@@@@@@@@Q

ƂƂłB炩ɁA100A܂uv̎ɂ́AU䂪uQ́A
m12̂Pnvi܂Q12捪jƂȂ܂BƂ͋tɁAU䂪^
āA̐UɑZg̒l߂ꍇɂ́A̎ό`邱Ƃ
Ȃ܂B

@U䂪x̎ɁAꂪZgɂȂƂƁA

@@@@@@@@@(x/1200)
@@@@@@xQ

̗ӂ́AQƂΐƂāA

@@@@@@ixj^PQOO
@@@@@@@@@2

ǁA
@@@@@@PQOOixj
@@@@@@@@@@@@@@@@2

ƂƂɂȂ܂BdgČvZꍇɂ́ARΐɕϊāA

@@@@@@ixjPQOO^iQj

Ƃ̂AϊƂȂ܂B̎́Auv̍l@̎ɂ͂g܂B

12ϗ̖

@āAuZgvƂɂ܂AxAuSTxv12
ϗɂčlĂ݂܂傤B́AɂĂ̍l@́Aŏ̏dvȒi
KƂȂ܂B

@܂AuSTxv12d˂ƃIN^[uɖ߂AƂƂmFĂ݂܂
傤BSTxƂ̂́AU䂪QFRłB12d˂Ƃ
́Auv͂ZłA

@ @@@@@@@@@         @@@@@@@@@ 12
@@@@@@@@@@ @@@@@@@@@@@@   Q
@(2/3)*(2/3)*(2/3)*EEEEEEEEE*(2/3)|||SOXU^TRPSSP
                                                 12
@@@@@@@@@@@@@@@         @@@@ R

ƂƂłBAVIN^[uグāAPɋ߂ɖ߂Ă݂ƁA

@@@@4096/531441*2*2*2*2*2*2*20.986540369...

ƂȂ܂BWXgPɂ͂Ȃ܂B܂A{ɋa͂́AU䂪
QFR̊STxƂ̂́AȈӖł́A12ϗ̉𐶐ĂȂ
̂łB́u덷v́A

@@@@P|0.986540369...0.013459631...

łB́Aق́u덷vƌقǏ̂ł傤BvZĂ
܂傤BUƂāA̍̂`i880HzjƂ܂傤B

@@@@8800.013459631...11.84447568...

ƂȂ܂B12wcłB12wcƂ̂́Ả̂͐lԂ̒oɓ
ĂȂ悤łA͑ςɖ̂sb`łB{ɋa銮STxi
́Ay̗pɏ]āuȊSTxvƌĂт܂傤jɂč
i12ςݏd˂jƁAuvł͂̌̉ƂAꏏɖ炵ǂ
Ȃł傤B

@12wc̈ႢƂ΁A͂AuOOɂȂĂvԂłB
AóAyɂƂĂȂLQȁuXvƂȂāAmoI[
_[̌ۂȂ̂łB

@ł́ǍۂAuZgvɂĊmFĂ݂܂傤B12ϗ̏
ɂ́A12́uv𓙊ԊuɕĂ̂łÁuSTxvƂ
̂́Ai100ZgĵVŁA700ZgƂƂɂȂ܂B
@Ƃ낪uSTxv̏ꍇɂ́AR^QPDT̔łA

@@@@@@iPDTjPQOO^iQj

ƂvZ΂ƂɂȂ܂Bʂ́A701.9550009...ZgłB
íASTx701.955ZgAƂl͊oĂĂ͂܂j
Zg̒PʂŖQZgAƂ́u덷vASTx̏ꍇ̂̂łB킸
QZǧ덷łÂ悤Ȍ덷Ay̒ł́AuXv̌ƂȂ
˂Ȃł邱Ƃ`FbNĂ܂傤B

s^SX

@āA܂uSTxvĂ܂񂪁Aő́uv
oꂵĂ܂B́us^SXvłBs^SXƂ̂
ł͂܂BƂ΁Aȉ̂悤Ȃ̂ASĉyIɂ
܂قȂ̂łB

-----------------------------------------------

[NO.2] Pythagorean Scale ( 3#/2b )

 0 
 113.6849069203939 
 203.9098628455326 
 294.1350122511862 
 407.8200094624871 
 498.0450040837287 
 611.7300270924316 
 701.9550991058793 
 815.6401737093861 
 905.8651425332258 
 996.0902145466735 
 1109.775134365768 

@s^SẌBTx~ŊATx㏸ɂWATx~
ɂRAȊSTxƂ́BbƂƁAHtij
dtbgƂfV[v̊ԂɗB

-----------------------------------------------

[NO.3] Pythagorean Scale ( 2#/3b )

 0 
 113.6849069203939 
 203.9098628455326 
 294.1350122511862 
 407.8200094624871 
 498.0450040837287 
 611.7300270924316 
 701.9550991058793 
 792.1800679297189 
 905.8651425332258 
 996.0902145466735 
 1109.775134365768 

@s^SẌBTx~ŊATx㏸ɂVATx~
ɂSAȊSTxƂ́BbƂƁAHtij
`tbgƂbV[v̊ԂɗB

-----------------------------------------------

[NO.4] Pythagorean Scale ( 1#/4b )

 0 
 90.22480759007722 
 203.9098628455326 
 294.1350122511862 
 407.8200094624871 
 498.0450040837287 
 611.7300270924316 
 701.9550991058793 
 792.1800679297189 
 905.8651425332258 
 996.0902145466735 
 1109.775134365768 

@s^SẌBTx~ŊATx㏸ɂUATx~
ɂTAȊSTxƂ́BbƂƁAHtij
ctbgƂeV[v̊ԂɗB

-----------------------------------------------

[NO.5] Pythagorean Scale ( 5b )

 0 
 90.22480759007722 
 203.9098628455326 
 294.1350122511862 
 407.8200094624871 
 498.0450040837287 
 588.2699729075684 
 701.9550991058793 
 792.1800679297189 
 905.8651425332258 
 996.0902145466735 
 1109.775134365768 

@s^SẌBTx~ŊATx㏸ɂTATx~
ɂUAȊSTxƂ́BbƂƁAHtij
ftbgƂåԂɗB

-----------------------------------------------

[NO.6] Pythagorean Scale ( 4#/1b )

 0 
 113.6849069203939 
 203.9098628455326 
 317.5948342594314 
 407.8200094624871 
 498.0450040837287 
 611.7300270924316 
 701.9550991058793 
 815.6401737093861 
 905.8651425332258 
 996.0902145466735 
 1109.775134365768 

@s^SẌBTx~ŊATx㏸ɂXATx~
ɂQAȊSTxƂ́BbƂƁAHtij
atbgƂcV[v̊ԂɗB

-----------------------------------------------

[NO.7] Pythagorean Scale ( 5# )

 0 
 113.6849069203939 
 203.9098628455326 
 317.5948342594314 
 407.8200094624871 
 498.0450040837287 
 611.7300270924316 
 701.9550991058793 
 815.6401737093861 
 905.8651425332258 
 1019.550062352321 
 1109.775134365768 

@s^SẌBTx~ŊATx㏸ɂPOATx~
ɂPAȊSTxƂ́BbƂƁAHtij
͂eƂ`V[v̊ԂɗB

-----------------------------------------------

@L̉XgŁAƂNO.2

@@@@@[NO.2] Pythagorean Scale ( 3#/2b )

ƂɂďĂf[^̈ӖłA12̃sb`AC
Zgf[^ƂāA

        C  : 0 
        C# : 113.6849069203939 
        D  : 203.9098628455326 
        Eb : 294.1350122511862 
        E  : 407.8200094624871 
        F  : 498.0450040837287 
        F# : 611.7300270924316 
        G  : 701.9550991058793 
        G# : 815.6401737093861 
        A  : 905.8651425332258 
        Bb : 996.0902145466735 
        B  : 1109.775134365768 

Ɛݒ肷AƂӖłBłWԖځAf̃Zgf[^AǂŌ
̂鐔ƋCtl͂ȂȂXhCłB́AقǌvZu
STxvȂ̂łB

@āA炪ʔvZɂȂ܂BdЎɁÁub|fvȊO̊S
TxɂāAvZĂ݂܂傤Bł͗́uܓx~vp܂BZ
gf[^Ƃ̂́ASɑZEZŃsb`vZł̂łAȒP
ȂƂłBƂ΁Aܓx~Łub|fv̎ɂAuf|cvĂ݂܂B
̐̉̃̕P^͂܂Ӗ܂񂩂A_ȉRP^炢ŌvZ
Ă݂ƁA

         203.910 | 701.955 

ƂvZł̓}CiXɂȂ܂A̓IN^[uグ΂̂ŁA

         203.910 | 701.955 { 1200

ƌvZ܂Bʂ͂ǂȂł傤B701.955ZgłBvZႢ͂
Bł́Áuc|`v͂ǂł傤B̎́u`|dv́H

@ׂČvZĂ݂Ƃ킩܂AȂƂ̉ł́A12̊STx̂
A11܂łuSTxvƂȂĂ̂łB܂Ả̂悤Ƀ`
[jOꂽyŉt鉹ýAB́uvSTxtȂA
uɏȊSTxvyAƂƂɂȂ܂B

s^SX̔wi

@́AyjlĂ݂΁A܂R̂ƂłBmy̗j̏
́AɒԁAy̓j]ƃIN^[uȊỎ𓯎ɏd˂Ƃ
Ƃ܂łBāuvy̎ɂȂƁA|tHj[yi
p[gd˂鉹yjɂāASTxŁunvyoꂵ̂łB
A̎12̑SĂg悤ȂƂ͂܂܂łA
uTxvgȂ悤ȏꏊɔzuĂāÁus^SXvɒ
y킪gꂽ̂łB

@̂悤ȉył́Aɖ鉹̓IN^[uSTxłA
ɏɋa鉹y낤Ǝv܂BāAgybgȂǂ̊Ǌy
A邢̓oCIȂǂ̌yAPƂŉtꍇɂ̓s^SXɋ
sb`ŉt邱Ƃ񍐂Ă܂B܂ÃI[PXgƂǂ
12ϗ\ȂǂƂƂ͂ȂāAyɎRȉƂ̂́A͂菃
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R{Ɖ̊֌W

@Ƀs^SXƂɂǂ܂ÂłSڂƂ
Ƃł傤B܂܂̐E̐͒̂łB

@STx̂ƂŁAU䂪QFRƂlg܂Ał
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̈Ղ甭Ñ̌y̌`ĂA邢̓MVɑ̌n
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̐\AƂ̂́A悭mꂽƂłBŁÂ悤ɊS
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Ήɑ邩lĂ݂ƁA

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                @X{@|||@RIN^[uƑS

                PO{@|||@RIN^[uƒRx

                PQ{@|||@RIN^[uƊSTx

ȂǂƂƂɂȂ܂B̂̉Ɠɖ炵ꍇɂ́A
ɐ{łA12ϗ̂悤ȁuXvŉ邱Ƃ͂܂B

uȉvƂ́H

@ł͎ɁAPIN^[uLɂĂ̓IN^[uiRA
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ƌĂ΂鉹̈o߂ɁA̕@Ȃ̂łB

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                S@|||||||||||@WFX

                僊}@||||||||||@QTFQV

                SKI@||||||||@PTFPU

                KI唼iN}j||@PQWFPRT

                KIiN}j||@QSFQT

                s^SXE}@|||||@QSRFQTU

                VgjbNER}@||||@WOFWP

                s^SXER}@|||||@524288F531441

                fBGVX@||||||||@PQTFPQW

㔼ɂ́AȂ񂾂킯̂킩ȂOĂ܂A܂͂ꌤ
Ă݂ĂBƂ肠dvȂ̂́Aŏ̂VW܂łłB

@uSSxvƂ̂́AƂ΃hƃt@̉łA͊STxƃyA
Ȃ̂łB܂A

        IN^[u@@STx@{@SSx@@i Q  (3/2)  (4/3) j

Ƃ֌Wíu]vƂłjłAȊSTxƂ΁A
ƃyÅSSxȉiaƂ܂jɂȂ܂B܂ARx
ƒZRxɂĂA

        STx@@Rx@{@ZRx@@i  3/2  (5/4)  (6/5)  j

ƂȂĂ܂B܂AȊSTx́AȒRxƏȒZRxƂɕ
̂łBāAy̖{IȖ͂n܂܂B

uȒRxv̖_

@ȒRxƂ̂́Ahɑ΂~RxłAh~\ƂW[
aiRaj`ASTxɎŏdvȉłBlĂ݂܂
傤BU䂪mhF~SFTnƂ܂Ảɑ΂Zgf[^
́AȒPɌvZł܂BuRxv́AT^SPDQT̔łA

@@@@@@iPDQTjPQOO^iQj

ƂvZ΂ƂɂȂ܂Bʂ́A386.3137139...ZgłB
íARx386.314ZgAƂl͊oĂĂ͂܂j

@āA̐͂ǂł傤B12ϗł́ARxƂ̂́uv
SłA400ZgłB400386.314Ƃ̂́Aقǂ̊STxł
QZgɔׂāAȂ傫ȁuYvƂƂɂȂ܂B14ZgƂ
΁AƂ΃hƃ~𓯎ɖ炵ŁAOOɁuXvłBAF
̎茳ɌՊyiłΒ̐mȓdqyj܂AɃhƃ~
𓯎ɖ炵Ă݂ĂBQ̂ꂼ̉łȂAuDDDv
ƚX肪邱ƂɋCtł傤B

@12ϗɏ]Pʂł邽߂ɁAȂ񂾂400ZgAƂsb^̐
̕mȋCĂ܂܂A͂́Aȉɑ΂đȌ덷
Ƃ킯łB

Zḱuv

@ł́AuȒRxvƂ́Aǂ̂ł傤Bɂ́A
ݒ@\dqyĝ֗łBꂼ̓dqy킲Ƃɉ
̐ݒ@\͈قȂ̂ŁAł͏ڂ͐G܂񂪁Ap\R̉ʂMIDI
̃sb`xhƂĉݒłt[EFAȂǂ悤ł̂ŁA
肵Ă݂Ăł傤B̎́AۂɎŒĂ݂Ƃ납n
܂̂łB(^_^)

-----------------------------------------------

[NO.31] Marin Mersenne : Pure Temperament

 0 
 70.67214399972208 
 203.9098628455326 
 274.5824389517381 
 386.3136957203314 
 498.0450040837287 
 568.7174512029243 
 701.9550991058793 
 772.6275462250748 
 884.3586740066581 
 996.0902145466735 
 1088.268872218417 

@Zk̗^f[^ɊÂÄB珇ɔ
eƊƂ̐ÚAP^PAQT^QSAX^WAVT^USAT
^SAS^RAQT^PWAR^QAQT^PUAT^RAPU^XAPT^WAƂ
B

-----------------------------------------------

Ƃݒ肵Ă݂܂傤Bꂼ̃sb`́ACɑ΂12ƂāA

        C  : 0 
        C# : 70.67214399972208 
        D  : 203.9098628455326 
        Eb : 274.5824389517381 
        E  : 386.3136957203314 
        F  : 498.0450040837287 
        F# : 568.7174512029243 
        G  : 701.9550991058793 
        G# : 772.6275462250748 
        A  : 884.3586740066581 
        Bb : 996.0902145466735 
        B  : 1088.268872218417 

ƂZgf[^ł܂B悭ƁAf̊STxSTx̃Z
gf[^ƂȂĂ܂BꂩAd̒RxAقǌvZ̃Z
gf[^ƂȂĂ܂B

@̉ݒłlhchɑ΂āAdqL[{[hẮA
L[{[hŁAb̉Ƃd̉𓯎ɒeĂ݂ĂBF́AƂ΃ru
[ĝĂȂpCvIKƂAsAmŌ\łBǂȋł
傤B

@܂ŕϗ̋ɊĂ܂lɂƂẮAȂƂȂAȋ
iru[ĝȂ󋕂ȋjɊ邩܂Błɂfɖ
āAmbEdEfñnRaĂ݂܂傤Bقǐ^ȁA悭
ĂƐSx܂悤ȋ킩ł傤B

@̋Ay̗jł12ϗԂɂ킽Đlނƈꏏ
łAuȃn[j[vȂ̂łBŋ߂̃lTXobNyŁA
̊yƓ̉ŉtčD]Ȃ̂ȀȋłB܂ACO̎
͂鍇ĉ́Ȁȃn[j[āAOɊ^
̂łilԂ͏ȃn[j[߂قRłAR[X̐E
́AӎȂĂyuȋvɂȂĂ܂܂jB

@ȂÁuZk̏v́ẢɂĂAZgf[^ƐU
̕ϊvZĂ݂ƁA

        C# : 70.672   @@QSFQT

        D  : 203.909  @@WFX

        Eb : 274.582  @@USFVT

        F  : 498.045  @@RFS

        F# : 568.717  @@PWFQT

        G# : 772.627  @@PUFQT

        A  : 884.358  @@RFT

        Bb : 996.090  @@XFPU

        B  : 1088.268 @@WFPT

ƁAȂȒPȐɂȂĂ܂B

ЂƂ́uv

@A悢批̘bƂĂTڂzĂ܂Bł́ÁuZ
k̏vxׂƂ납n߂܂傤BŖƂ̂́A
Rx̂dƁAZRx̂dbɂĂłB̂Q̉́A

        Eb : 274.582 @@USFVT
        E  : 386.313 @@SFT

Ƃ܂BƂŁAłɐGꂽ悤ɁA

        STx@@Rx@{@ZRx@@i  3/2  (5/4)  (6/5)  j

Ƃ֌W܂B̗Ȃ߂Ă݂ƁAƕςƋCt܂
傤Bł̒ZRxɂ́A 64:75  5:6 Ƃ́AQނ̂łB

@܂肱̉ł́Amb|dbnƂuZRxv 64:75 ŁAmd|fnƂ
uZRxv 5:6 ̐UƂȂĂ̂łBւƁẢ̓
̂́AuƂȂbɑ΂鋦axD悵ĂvAƂƂɂȂ
BĂ݂邽߂ɂ́Aσzidtbg̃W[R[hjeĂ
ȒPɕ܂Bmdb|fńuRxv́A

        701.955@|@274.582@@427.373

ƂȂāA12ϗAɏRx痣Ă܂Bۂɖ炵
݂ƁAƕȂ炢AłB́Ảɒꂽy
ŉt鉹yAuσzƂaȂǓoꂷ邱Ƃ̂ȂyvƂ
̂̂łƂ𕨌Ă܂i̊bƂꍇjB

@āAŁA

-----------------------------------------------

[NO.38] Pure <C:0> Temperament (Q-50)

 0 
 111.7311922750884 
 203.9098628455326 
 315.6412743985379 
 386.3136957203314 
 498.0450040837287 
 590.2237133502759 
 701.9550991058793 
 813.6864332666786 
 884.3586740066581 
 1017.596373504417 
 1088.268872218417 

@̈BbƂāASTxoARxsƂƁAb
oQi㏸ĂfƂcAboPi~ĂeƂÂS
炻ꂼAsPi㏸ĂSA܂sPi~ĂS
́B

-----------------------------------------------

Ƃݒ肵Ă݂܂傤BCƂƁA12̉ɑΉāA

        C  : 0 
        C# : 111.7311922750884 
        D  : 203.9098628455326 
        Eb : 315.6412743985379 
        E  : 386.3136957203314 
        F  : 498.0450040837287 
        F# : 590.2237133502759 
        G  : 701.9550991058793 
        G# : 813.6864332666786 
        A  : 884.3586740066581 
        Bb : 1017.596373504417 
        B  : 1088.268872218417 

Ƃf[^ł܂B낻Af[^̖ڂ̂ǂ낪߂Ă
邩܂B܂ڂɂƂƂẮAf̊STxSTx̃Z
gf[^ƂȂĂ܂BꂩAd̒RxÃZgf[^ƂȂ
Ă܂B

@āASSxƒZRxɂĂA

        F:498.045@{@G:701.955@@1200@iIN^[uj

        Eb:315.641@{@E:386.314@@701.955@iSTxj

ƂȂĂ܂B܂Ảł́AσẑRaɂĂAɋ
ƂɂȂ܂imab|dbnSTxɂȂĂ邱ƂmFĂjB

@dgĂ낢ƌvZĂ݂ƁẢł́ÅSTx
ɂȂĂ܂B܂A̒RxɂȂĂ܂BÁu
񂹁vāAɁuvȂ肠܂B̂悤ɁAuȉv
Ɓuvǂ̂悤ɔzu邩AƂ̂A́uv̌
ȂĂ̂łB

uOtviax~jɂ鉹̍l@

@āA特ɂĂɌĂ߂ɂ́A̓gƁA
ƂĂ₷Ȃ܂B͕M҂񏥂uax~vƂ悤Ȑ}
płBtȃt[nhł\łAV~[V\tg
̂ƂĂȒPł̂ŁÂ͂ǂۂɍȂǂݐi߂Ă
ĉB

@ƂȂ̂́AʓIȌܓx~łBł͕WIɁAv12̂Ƃ
bAPAQADDD̂ƂɏɊSTx㏸AfAcADD
ƕŁAŌ͂PÔaAPP̂eAƂ̂Ƃ܂Ba̒́A
KɑIŌ\łB̌ܓx~ׂ܂Aꂼꂩn~oĂ
ꍇ܂̂ŁA܂薧ڂĕׂȂŁAKɊԊuƂ܂傤B

@āǍܓx~̒S12̕ՁiꂼPQ̉KĂ
jւ̔aɖڐ܂BΓIȂ̂Ȃ̂œKł̂łAƂ
΁Aa̔̂Ƃŏai덷OZgjAܓx~ƈv锼âƂ
20ZgAƂ炢ɋK肵܂Bꂼ̋ax~œXP[ɂ
ĂƁiΓIȔrjdvł̂ŁA͓KɑIłvłB

us^SXvƁuv

@ł́Aۂɉɑ΂āẢOt`Ă݂܂傤B
Ă܂ƁA܂@BIȍƂłɍ܂ÃOt
[ȐEƉyIȈӖYقɕĂ邱Ƃɋł傤B(^_^)

@ł́Ałɓoꂵ

@@@@@[NO.2] Pythagorean Scale ( 3#/2b )

ƂIĂ݂܂傤BZgf[^́A

        C  : 0 
        C# : 113.6849069203939 
        D  : 203.9098628455326 
        Eb : 294.1350122511862 
        E  : 407.8200094624871 
        F  : 498.0450040837287 
        F# : 611.7300270924316 
        G  : 701.9550991058793 
        G# : 815.6401737093861 
        A  : 905.8651425332258 
        Bb : 996.0902145466735 
        B  : 1109.775134365768 

ƂƂłBł܂APQ̔âAb̕A܂莞vŌ
PQ̕ɂăvbg܂BȂ݂ɁAł́uFvƁuFvƂ
Qނ̈قȂF𓯎Ɏg܂B̐FłKv͂܂񂪁Ał͈ȉ
̐ł́AuFvuFvip\R̃fBXvCŔwiubNɂĂ
ƍۗFȂ̂ł(^_^;)jƂĐi߂Ă܂B

@܂AF́uSTxvvZ܂B܂A̎́ubvł̂ŁAb
STx́ufvƂ̊ԂŌvZ܂BvZéAZgf[^̈Zi}Ci
XɂȂ1200vXA1200𒴂1200āA[ȏ1200̒l
jʂƏȊSTx̃Zgf[^̍ƂA

@uSTx̃Zgf[^v|ủ̃Zgf[^v| 701.9550991058793 

̌ʂ̐Βl߂܂Bax̒ቺƂĂ̓vXł}CiXłX̂ŁA
Ō͐ΒlƂ܂Bł̗ł͓RA[ƂȂ܂BŁA̔a
̎ɂ́AFŁuŏavi덷OZgĵƂɃvbg܂B

@Ƃ͈ȉŁAf̎iP̕j͂c|fAc̎iQ̕j͂`|c
Ƃ悤ɓvZ܂B̃s^SXł͂̂͑SďTx
̂ŁAF̃vbg͍ŏâƂɕł܂B̉Fvbg
AFŌ񂾃OtẢOtłB

@ɁAF́uRxvvZ܂Bŏ̏ꍇ̎́ubvł̂ŁAb璷
Rx́udvƂ̊ԂŌvZ܂BvZéA悤ɃZgf[^̈Z
ʂƏȒRx̃Zgf[^̍ƂA

@uRx̃Zgf[^v|ủ̃Zgf[^v| 386.3136957203314 

̌ʂ̐Βl߂܂Bx21.5Zgx̒lo܂BAa
̌덷Zg̃XP[ɉƂɐFŃvbg܂B

@Ƃ͈ȉŁAf̎iP̕j͂a|fAc̎iQ̕jF#|c
Ƃ悤ɓvZ܂B̃s^SXł͂̂͑SĂȂ舫
Ă̂ŁAF̃vbg͑傫ȔâƂɕł܂B
̐F̃vbgAF̐Ō񂾃OtẢOtłBāA
łxÃOt𐮗Ē߂Ă݂܂傤B

@v̐ĵ悤ȉF̐܂~Ot́AuSTxv̋ax\킵Ă܂B
܂Auܓx~v̂悤ɃOƎ͂ɂ12̉́ÅƂȂ鉹
ӖĂ܂BƂ΁A܂i12̈ʒujɂmbn̎́A
ub犮STxvƁub璷Rxv̋ax\킷łB܂A̎
ƉF̃OtƂ̌_́AɏaƂȂĂ܂Aꂪusb^v
ƂȂĂ܂B܂Ãs^SXł́Amb|fn̊STx́A
STxƂȂĂ܂B

@́AP̈ʒúmf|cnłQ̈ʒúmc|`nłłB
Ƃ̃Zgf[^ɏ]āAdŌvZĂ݂ĂB̉́AẄʒu
mf#|c#n̊STxɈiaɁu덷v܂jȊÓA
STxɂĂׂ͂āAȉł邱Ƃ킩܂B

@ۂA~̂悤ȐF̐܂~Ot́AuRxv̋ax\킵Ă
B̉ł́AẌʒúmab|enS̈ʒúmd|an܂ł̒Rx
AȂ舫̂킩܂B̉ɐݒ肵ŁAۂɎł̒Rx
mFĂ݂ĉB

@āAł͍x́Aɓoꂵ

        @[NO.38] Pure <C:0> Temperament (Q-50)

ƂIĂ݂܂傤BZgf[^́A

        C  : 0 
        C# : 111.7311922750884 
        D  : 203.9098628455326 
        Eb : 315.6412743985379 
        E  : 386.3136957203314 
        F  : 498.0450040837287 
        F# : 590.2237133502759 
        G  : 701.9550991058793 
        G# : 813.6864332666786 
        A  : 884.3586740066581 
        Bb : 1017.596373504417 
        B  : 1088.268872218417 

łB悤ɂāAOt`Ă݂܂傤B

@11̈ʒuP̈ʒu܂łƁASTx̃OtRx̃OtA
ׂāuav́AŏaɂȂĂ܂B܂A

        11̈ʒu@@́uev  @STxme|bn͏
@@@@@@@@@@@@@@@@@@@  @@Rxme|`n͏

        12̈ʒu@@́ubv  @STxmb|fn͏
@@@@@@@@@@@@@@@@@@@  @@Rxmb|dn͏

        P̈ʒu@@́ufv  @STxmf|cn͏
@@@@@@@@@@@@@@@@@@@  @@Rxmf|an͏

ƂƂɂȂ܂B܂Ảł́AbW[ƂƁAgjbN
̂bW[Ah~iĝfW[ATuh~iĝeW[̑SĂ̘a
ȋł邱ƂɂȂ܂B̉ݒ肵āAR[hmĂăL[{[
heĺA

        b@|@e@|@b@|@f@|@b

ƂuJfc@veĂ݂ĂBϗɊĂ܂Ă鎨ɂ́A
ƋقǑfpȁAǂu炮v̌ł܂B

@̏̏ꍇɂ́AR̈ʒuÜʒu܂ł̊ɑ΂钷RxA
u񂹁vƂĂȂ舫Ƃ킩܂Bɂ΂܂B
ẢɃ`[jOꂽył́AuY镔̘agȂ
yvtĂAƂjIYĂ͂܂BobnȑO̎
ył́A]Ƃ̗v12ނ̑SĂ̘agƂȂǁAȂ̂łB
͈̔͂̉yɑΉƂẮȀ͔Ƀp[tFNgȋax
Ă킯łB

@̂悤ɁAuvƂÃO[v́A3xg
\ꂽ̂̂܂BȉɁAƕׂĂ݂܂傤B

-----------------------------------------------

[NO.32] Pure <D:-1> Temperament (Q-39)

 0 
 70.67214399972208 
 182.4034072176659 
 294.1350122511862 
 386.3136957203314 
 498.0450040837287 
 568.7174512029243 
 680.4487853637236 
 772.6275462250748 
 884.3586740066581 
 996.0902145466735 
 1066.762506881457 

@̈BbƂāASTxiR^QjoARxiT^
SjsƂƁAbsQi㏸ĂdƂfV[vƂÂR
炻ꂼAoRi~ĎĉX𐶐́B

-----------------------------------------------

[NO.33] Pure <A:-1> Temperament (Q-40)

 0 
 70.67214399972208 
 182.4034072176659 
 274.5824389517381 
 386.3136957203314 
 498.0450040837287 
 568.7174512029243 
 701.9550991058793 
 772.6275462250748 
 884.3586740066581 
 996.0902145466735 
 1088.268872218417 

@̈BbƂāASTxoARxsƂƁAb
oPi㏸ĂfAboQi~ĂeƂatbgƂA
̂S炻ꂼAsQi㏸ĎĉW𐶐́B

-----------------------------------------------

[NO.34] Pure <E:-1> Temperament (Q-41)

 0 
 70.67214399972208 
 203.9098628455326 
 274.5824389517381 
 386.3136957203314 
 498.0450040837287 
 590.2237133502759 
 701.9550991058793 
 772.6275462250748 
 884.3586740066581 
 976.5375380576173 
 1088.268872218417 

@̈BbƂāASTxoARxsƂƁAb
oQi㏸ĂfƂcAboPi~ĂeƂÂS
炻ꂼAsQi㏸ĎĉW𐶐́B

-----------------------------------------------

[NO.35] Pure <B:-1> Temperament (Q-42)

 0 
 92.17852868473322 
 203.9098628455326 
 274.5824389517381 
 386.3136957203314 
 478.4924307842806 
 590.2237133502759 
 701.9550991058793 
 772.6275462250748 
 905.8651425332258 
 976.5375380576173 
 1088.268872218417 

@̈BbƂāASTxoARxsƂƁAb
sQi㏸ĂdƂfV[vƂÂR炻ꂼAoRi
㏸ĎĉX𐶐́B

-----------------------------------------------

[NO.36] Pure <Bb:0> Temperament (Q-48)

 0 
 111.7311922750884 
 182.4034072176659 
 294.1350122511862 
 386.3136957203314 
 498.0450040837287 
 609.7763382445281 
 680.4487853637236 
 813.6864332666786 
 884.3586740066581 
 996.0902145466735 
 1107.821445517865 

@̈BbƂāASTxoARxsƂƁAb
sPi㏸ĂdAbsPi~Ă`tbgƂA
R炻ꂼAoRi~ĎĉX𐶐́B

-----------------------------------------------

[NO.37] Pure <F:0> Temperament (Q-49)

 0 
 111.7311922750884 
 182.4034072176659 
 315.6412743985379 
 386.3136957203314 
 498.0450040837287 
 609.7763382445281 
 701.9550991058793 
 813.6864332666786 
 884.3586740066581 
 996.0902145466735 
 1088.268872218417 

@̈BbƂāASTxoARxsƂƁAb
oPi㏸ĂfAboQi~ĂeƂatbgƂA
̂S炻ꂼAsPi㏸ĂSA܂sPi~
S𐶐́B

-----------------------------------------------

[NO.39] Pure <G:0> Temperament (Q-51)

 0 
 92.17852868473322 
 203.9098628455326 
 315.6412743985379 
 386.3136957203314 
 519.5514210154924 
 590.2237133502759 
 701.9550991058793 
 813.6864332666786 
 905.8651425332258 
 1017.596373504417 
 1088.268872218417 

@̈BbƂāASTxoARxsƂƁAb
oRi㏸ĂfƂcƂ`ƂÂS炻ꂼAsPi
㏸ĂSA܂sPi~ĂS𐶐́B

-----------------------------------------------

[NO.40] Pure <Gb:+1> Temperament (Q-57)

 0 
 111.7311922750884 
 223.4624619423827 
 294.1350122511862 
 427.3725311671312 
 498.0450040837287 
 609.7763382445281 
 721.5075692157194 
 813.6864332666786 
 925.417509453458 
 996.0902145466735 
 1107.821445517865 

@̈BbƂāASTxoARxsƂƁAb
oRi~ĂeƂatbgƂdtbgƂÂS炻ꂼ
AsQi~ĎĉW𐶐́B

-----------------------------------------------

[NO.41] Pure <Db:+1> Temperament (Q-58)

 0 
 111.7311922750884 
 223.4624619423827 
 315.6412743985379 
 427.3725311671312 
 498.0450040837287 
 609.7763382445281 
 701.9550991058793 
 813.6864332666786 
 925.417509453458 
 996.0902145466735 
 1129.327810854824 

@̈BbƂāASTxoARxsƂƁAb
oPi㏸ĂfAboQi~ĂeƂatbgƂA
̂S炻ꂼAsQi~ĎĉW𐶐́B

-----------------------------------------------

[NO.42] Pure <Ab:+1> Temperament (Q-59)

 0 
 111.7311922750884 
 203.9098628455326 
 315.6412743985379 
 427.3725311671312 
 498.0450040837287 
 631.2825487970758 
 701.9550991058793 
 813.6864332666786 
 925.417509453458 
 1017.596373504417 
 1129.327810854824 

@̈BbƂāASTxoARxsƂƁAb
oQi㏸ĂfƂcAboPi~ĂeƂÂS
炻ꂼAsQi~ĎĉW𐶐́B

-----------------------------------------------

[NO.43] Pure <Eb:+1> Temperament (Q-60)

 0 
 133.237570510749 
 203.9098628455326 
 315.6412743985379 
 427.3725311671312 
 519.5514210154924 
 631.2825487970758 
 701.9550991058793 
 813.6864332666786 
 905.8651425332258 
 1017.596373504417 
 1129.327810854824 

@̈BbƂāASTxoARxsƂƁAb
oRi㏸ĂfƂcƂ`ƂÂS炻ꂼAsQi
~ĎĉW𐶐́B

-----------------------------------------------

[NO.44] Pure <D:-1> Temperament (T-39)

 0 
 49.16583025756642 
 182.4034072176659 
 253.0760478173764 
 364.8074593703817 
 498.0450040837287 
 568.7174512029243 
 680.4487853637236 
 751.1212324829191 
 884.3586740066581 
 996.0902145466735 
 1066.762506881457 

@̈BbƂāASTxiR^QjoAZRxiU^
TjqƂƁAboQi~ĂeƂatbgƂÂR
炻ꂼAqRi~ĎĉX𐶐́B

-----------------------------------------------

[NO.45] Pure <A:-1> Temperament (T-40)

 0 
 70.67214399972208 
 182.4034072176659 
 253.0760478173764 
 386.3136957203314 
 498.0450040837287 
 568.7174512029243 
 701.9550991058793 
 751.1212324829191 
 884.3586740066581 
 955.0311727206577 
 1066.762506881457 

@̈BbƂāASTxoAZRxqƂƁAb
oPi㏸ĂfAboPi~ĂeƂÂR
ꂼAqRi~ĎĉX𐶐́B

-----------------------------------------------

[NO.46] Pure <E:-1> Temperament (T-41)

 0 
 70.67214399972208 
 203.9098628455326 
 253.0760478173764 
 386.3136957203314 
 456.9862718265369 
 568.7174512029243 
 701.9550991058793 
 772.6275462250748 
 884.3586740066581 
 955.0311727206577 
 1088.268872218417 

@̈BbƂāASTxoAZRxqƂƁAb
oQi㏸ĂfƂcƂÂR炻ꂼAqRi~
ĎĉX𐶐́B

-----------------------------------------------

[NO.47] Pure <F:0> Temperament (T-49)

 0 
 111.7311922750884 
 182.4034072176659 
 315.6412743985379 
 364.8074593703817 
 498.0450040837287 
 568.7174512029243 
 680.4487853637236 
 813.6864332666786 
 884.3586740066581 
 996.0902145466735 
 1066.762506881457 

@̈BbƂāASTxoAZRxqƂƁAb
oQi~ĂeƂatbgƂÂR炻ꂼAqPi
㏸ĂRA܂qQi~ĎcU𐶐́B

-----------------------------------------------

[NO.48] Pure <C:0> Temperament (T-50)

 0 
 70.67214399972208 
 182.4034072176659 
 315.6412743985379 
 386.3136957203314 
 498.0450040837287 
 568.7174512029243 
 701.9550991058793 
 813.6864332666786 
 884.3586740066581 
 1017.596373504417 
 1066.762506881457 

@̈BbƂāASTxoAZRxqƂƁAb
oPi㏸ĂfAboPi~ĂeƂÂR
ꂼAqPi㏸ĂRA܂qQi~ĎcU
́B

-----------------------------------------------

[NO.49] Pure <G:0> Temperament (T-51)

 0 
 70.67214399972208 
 203.9098628455326 
 315.6412743985379 
 386.3136957203314 
 519.5514210154924 
 568.7174512029243 
 701.9550991058793 
 772.6275462250748 
 884.3586740066581 
 1017.596373504417 
 1088.268872218417 

@̈BbƂāASTxoAZRxqƂƁAb
oQi㏸ĂfƂcƂÂR炻ꂼAqPi㏸
ĂRA܂qQi~ĎcU𐶐́B

-----------------------------------------------

[NO.50] Pure <Ab:+1> Temperament (T-59)

 0 
 111.7311922750884 
 182.4034072176659 
 315.6412743985379 
 427.3726601541412 
 498.0450040837287 
 631.2826519866837 
 680.4487853637236 
 813.6864332666786 
 884.3586740066581 
 996.0902145466735 
 1129.327810854824 

@̈BbƂāASTxoAZRxqƂƁAb
oQi~ĂeƂatbgƂÂR炻ꂼAqPi
~ĂRA܂qQi㏸ĎcU𐶐́B

-----------------------------------------------

[NO.51] Pure <Eb:+1> Temperament (T-60)

 0 
 133.237364131533 
 182.4034072176659 
 315.6412743985379 
 386.3136957203314 
 498.0450040837287 
 631.2826519866837 
 701.9550991058793 
 813.6864332666786 
 884.3586740066581 
 1017.596373504417 
 1129.327810854824 

@̈BbƂāASTxoAZRxqƂƁAb
oPi㏸ĂfAboPi~ĂeƂÂR
ꂼAqPi~ĂRA܂qQi㏸ĎcU
́B

-----------------------------------------------

[NO.52] Pure <Bb:+1> Temperament (T-61)

 0 
 133.237364131533 
 203.9098628455326 
 315.6412743985379 
 386.3136957203314 
 519.5514210154924 
 631.2826519866837 
 701.9550991058793 
 835.1927986036382 
 884.3586740066581 
 1017.596373504417 
 1088.268872218417 

@̈BbƂāASTxoAZRxqƂƁAb
oQi㏸ĂfƂcƂÂR炻ꂼAqPi~
ĂRA܂qQi㏸ĎcU𐶐́B

-----------------------------------------------

[NO.53] Pure <Cb:+2> Temperament (T-69)

 0 
 111.7311922750884 
 244.9689820637543 
 315.6412743985379 
 427.3726601541412 
 498.0450040837287 
 631.2826519866837 
 743.014089337091 
 813.6864332666786 
 946.9239779800256 
 996.0902145466735 
 1129.327810854824 

@̈BbƂāASTxoAZRxqƂƁAb
oQi~ĂeƂatbgƂÂR炻ꂼAqRi
㏸ĎcX𐶐́B

-----------------------------------------------

[NO.54] Pure <Gb:+2> Temperament (T-70)

 0 
 133.237364131533 
 244.9689820637543 
 315.6412743985379 
 448.8786127326689 
 498.0450040837287 
 631.2826519866837 
 701.9550991058793 
 813.6864332666786 
 946.9239779800256 
 1017.596373504417 
 1129.327810854824 

@̈BbƂāASTxoAZRxqƂƁAb
oPi㏸ĂfAboPi~ĂeƂÂR
ꂼAqRi㏸ĎcX𐶐́B

-----------------------------------------------

[NO.55] Pure <Db:+2> Temperament (T-71)

 0 
 133.237364131533 
 203.9098628455326 
 315.6412743985379 
 448.8786127326689 
 519.5514210154924 
 631.2826519866837 
 701.9550991058793 
 835.1927986036382 
 946.9239779800256 
 1017.596373504417 
 1150.834279381392 

@̈BbƂāASTxoAZRxqƂƁAb
oQi㏸ĂfƂcƂÂR炻ꂼAqRi㏸
ĎcX𐶐́B

-----------------------------------------------

@uvɂ́A傫Qނ̃O[v܂BЕ̂Ƃ킩
ƁAł̂ŁAł́AuRxT^SƊSTxR^Qv
O[vɂčl܂傤BSTxƂ̂́A12d˂ƃIN^[u
߂AƂ̂12ϗ̍lłB܂AhCc\LƁA

@C - G - D - A - E - H - Fis - Cis - Gis - Dis - Ais - Eis( = F ) - C

ƂƂłB
Ƃ낪ASɓԊu̐UA܂u12捪̂QÂVvƂƁA
ƉĂA҂PIN^[uɂȂ܂B
̃YiSTxR^Q12d˂̂ƃIN^[uƂ̍jA
us^SXR}vƂ̂łBŔzς܂傤BuTx~v
ł͖Y܂B
ł́AȒRxsAȊSTxoƂ܂傤B
sT^SAoR^QłB

܂ŏɁAbX^[gāAołS̉߂܂B

@@@@@@@@@@C -- G -- D -- A

́A[--]ׂ̕ĂołB
ɁÂS̉ɑ΂āAs̉Aꂼu܂BƂ΂b
sɂƂƂdAfsɂƂƂg̉łB

                      E    H    Fis  Cis
                     /    /    /    /
@@@@@@@@@@C -- G -- D -- A

́A[/]ׂ̕ĂsłBƁẢP̂S̉̊֌WA
ׂĂoɂȂĂ܂B

                      E -- H -- Fis--Cis
                     /    /    /    /
@@@@@@@@@@C -- G -- D -- A

lɂāAb̗̉ɂAsꂼꉺ̂SAƂĂ݂܂B

                      E -- H -- Fis--Cis
                     /    /    /    /
@@@@@@@@@@C -- G -- D -- A
                   /    /    /    /
                  As - Es - B -- F

12ł܂B͈́uvłBꂪĹu39ԁv
łB
ƂŁA̐}̂΂񍶂̗̂RAɁAꂼo
Ƃ܂B

                 A'-- E -- H -- Fis--Cis
                /    /    /    /    /
@@@@@@ @F'-- C -- G -- D -- A
              /    /    /    /    /
             Des--As - Es - B -- F

悭ĂB̐}̂`Ƃ`_bVƂ̂́A12
ϗł́usb`vȂ̂łA̐Eł́uʂ̉vłB
eƂe_bVAႢ܂BāAٖł͂ Des  Cis A
AႤłB
ŁAՂPIN^[u12Ȃył́AƂ΍x
΂Ê̗RĂ܂āA

                 A'-- E -- H -- Fis
                /    /    /    / 
@@@@@@ @F'-- C -- G -- D 
              /    /    /    / 
             Des--As - Es - B 

ƁA12̉̃sb`蓖Ă܂Bꂪu38ԁvłB

̕@ŁAT^SƂR^Q̏gĂɏ㉺Eɉ
gĂ܂BƂ΁ÂbɂĂA

         H'---Fis'-Cis'-Gis--Dis--Ais--Eis-- His 
        /    /    /    /    /    /    /     /
       G'-- D'-- A'-- E -- H -- Fis--Cis - Gis'
      /    /    /    /    /    /    /    /
@@Es'-- B'-- F'-- C -- G -- D -- A -- E'
    /    /    /    /    /    /    /    /
   Ces--Ges--Des--As - Es - B -- F  - C' 

Ƃ悤ɁALĂƓ悤ɓoꂵ܂Áuʂ̂bv
̂́Aʂ̃sb`łB
̐}͈̔͂ƁAu^eRASv̕slӌ`Av10ނ
Ƃ܂B܂A̐}͈̔͂ŁA10ނ́uv܂BƂ낪A
炪e邽߂ɂ́Ał͂PIN^[uɂRQނ̌Ղ
ȂƂ܂B
̐}̏㉺Eւ̓WJ́A܂rłBŁAcm̏IK
̏ꍇAƂ΁uقȂTނ̂eV[vvȂǂ̂悤ȉe
߂ɁA̍̂łBԂ񔒌񂠂ł傤B

Ƃ͕ʂɁAZRxiU^TjƏSTx\̌n
܂BǁAꂼ12ނAv24ނقǁÃ^Cv̏
邱ƂɂȂ܂B

uSv̐E

@āAy\ugDvƂāASTxƒRxƂꂼ̗ꂩ
ǋ̂us^SXvuv̂łAオobna
A󋵂͂₱ȂĂ܂By̗jɁAu]vuGȘai
svoꂵ܂B

@Ƃ΃nAƌŒ肵Ă͈͂ł΁A܂ł̉ł\ɋa
x̍`[jOł̂łAobn̂悤12݂̒Ɉy̎
ɂȂƁAu̒œˑRɋvu̗ǍDȒȂvƂ
_傫サĂ܂BɁAs^SXł́uRxvƂ
܂Bœoꂵ̂Au~[g[vƌĂ΂uSv̈QȂ
łB

-----------------------------------------------

[NO.8] Meantone ( 3#/2b )

 0 
 76.04873372162436 
 193.156670503027 
 310.2648007649446 
 386.3136247774759 
 503.4216002549815 
 579.4704500649149 
 696.5785029346265 
 772.6274043393638 
 889.7353540194674 
 1006.843406889179 
 1082.892153509504 

@S̈BSɏȁmQIN^[u{RxnSu~[g[
Txv܂ATx~ŊATx㏸ɂWATx~
ɂRƂ́B

-----------------------------------------------

[NO.9] Meantone ( 2#/3b )

 0 
 76.04873372162436 
 193.156670503027 
 310.2648007649446 
 386.3136247774759 
 503.4216002549815 
 579.4704500649149 
 696.5785029346265 
 813.6864526147301 
 889.7353540194674 
 1006.843406889179 
 1082.892153509504 

@S̈BSɏȁmQIN^[u{RxnSu~[g[
Txv܂ATx~ŊATx㏸ɂVATx~
ɂSƂ́B

-----------------------------------------------

[NO.10] Meantone ( 1#/4b )

 0 
 117.1077884463411 
 193.156670503027 
 310.2648007649446 
 386.3136247774759 
 503.4216002549815 
 579.4704500649149 
 696.5785029346265 
 813.6864526147301 
 889.7353540194674 
 1006.843406889179 
 1082.892153509504 

@S̈BSɏȁmQIN^[u{RxnSu~[g[
Txv܂ATx~ŊATx㏸ɂUATx~
ɂTƂ́B

-----------------------------------------------

[NO.11] Meantone ( 5b )

 0 
 117.1077884463411 
 193.156670503027 
 310.2648007649446 
 386.3136247774759 
 503.4216002549815 
 620.5295499350851 
 696.5785029346265 
 813.6864526147301 
 889.7353540194674 
 1006.843406889179 
 1082.892153509504 

@S̈BSɏȁmQIN^[u{RxnSu~[g[
Txv܂ATx~ŊATx㏸ɂTATx~
ɂUƂ́B

-----------------------------------------------

[NO.12] Meantone ( 4#/1b )

 0 
 76.04873372162436 
 193.156670503027 
 269.2054687181563 
 386.3136247774759 
 503.4216002549815 
 579.4704500649149 
 696.5785029346265 
 772.6274043393638 
 889.7353540194674 
 1006.843406889179 
 1082.892153509504 

@S̈BSɏȁmQIN^[u{RxnSu~[g[
Txv܂ATx~ŊATx㏸ɂXATx~
ɂQƂ́B

-----------------------------------------------

[NO.13] Meantone ( 5# )

 0 
 76.04873372162436 
 193.156670503027 
 269.2054687181563 
 386.3136247774759 
 503.4216002549815 
 579.4704500649149 
 696.5785029346265 
 772.6274043393638 
 889.7353540194674 
 965.7841006397928 
 1082.892153509504 

@S̈BSɏȁmQIN^[u{RxnSu~[g[
Txv܂ATx~ŊATx㏸ɂPOATx~
ɂPƂ́B

-----------------------------------------------

@ł́AۂɎĂ݂܂傤BL̉XgA

        @[NO.9] Meantone ( 2#/3b )

ƂIāAOt쐬Aɂ̉ݒ肵Ă݂܂
Biȍ~Â悤ȍƂ͓悤ɐi߂Ă̂Ƃ܂Bj

@F́uSTxOtv̔aƂĂ܂AȂƂẌʒu
́mdbnAS̈ʒûd܂ŁARxp[tFNgłBSTx
ǈȂ̂ŁAlhchL[{[hŒeĂ݂ƁÂW́A

        σzAσAwAnAgAjACAz

̒RaǍDɋ܂Bقǂ̏AǍDȋƂĎg钲
ԑƂɂȂ܂BꂪA~[g[̂Ƃ{IȂ̂łB

@łɁAuZgf[^v̌vZɂĂlĂ݂܂Ał́ÃO
t̂ẄʒuȊÔƂɂ鉩F̃Ot́AuƂSTxv
ɂĊmFĂ܂傤B̊STx́Au~[g[TxvƌĂ΂
̂łB

@܂Ab珃ȒRxƂ܂Bł́ASFT̔łȂāAy
Iɂ͓ӖłAڂ̂T{A܂uQIN^[uƒRxvƂ܂B
̂QIN^[uƒRx̒ɂ́A

        b@|@f@|@c@|@`@|@d

ƁAS̊STxĂ܂BŁÁuOgv̂T{Ƃ̂S
ɏɂƂāAɂ̂S̊STxuԊuvɂ܂B̊STxA
u~[g[TxvȂ̂łB܂A~[g[Tx̐UyƂƁA
ySd˂ƂT{ɂȂ̂łA

@@@@@4
        y@@T

łB܂AýuT̂S捪vA1.495348781...łBȊSTx 1.5 ł
AƂĂ܂BZgf[^߂ɂ́A

@@@@@@iyjPQOO^iQj

ƂƂČvZ΂ƂɂȂ܂Bʂ́A696.578ZgłB
AL̃Zgf[^ibɂĂj́Amfn̂Ƃ̐lȂ̂łB
̒Sł́Áu~[g[TxvA傤ǃs^SX̂悤ɁA
12̂üƂPӏvȊÔƂɔzu悤ɂĂ܂B

@̂̊y풲҂́u`vł́Au̒ł͂b|f̚X肪vƂ悤
ȓ`𗊂ɁA`[jOs񂵂ăZbeBOĂ̂łA
dŒPɌvZf[^Rs[^dqyɑ΁ANEH[ci
Uqǰ덷i0.01%jŐݒłāAɂĂ̓dqył͂PUrbg
iÛPjx̐xŃf[^Ă邱ƂɂȂ܂Buv
͂ĂA͐ił܂ˁB

낢ȁu~[g[v

@L̉Xgɂ́Â悤ȁuSvƂāA

        [NO.8] Meantone ( 3#/2b )
        [NO.9] Meantone ( 2#/3b )
        [NO.10] Meantone ( 1#/4b )
        [NO.11] Meantone ( 5b )
        [NO.12] Meantone ( 4#/1b )
        [NO.13] Meantone ( 5# )

Ƃ悤ȁAuv̈ʒu낢ɕύXSł܂B
ĂɁA낢ȋZ@ɂĉǂꂽA

        [NO.14] Salinas ( 1/3 Syntonic Comma )
        [NO.15] Verheijen-Rossi ( 1/5 Syntonic Comma )
        [NO.16] Praetorius Meantone
        [NO.17] Schnitger Meantone
        [NO.25] Rameau-Legros Meantone
        [NO.26] Vogel-III Meantone

Ƃ悤ȒS̉ǌ^ƂuEFEep[hvƌĂ΂Q
̉̈Ƃ悤Ȃ̂܂BZgf[^͈ȉ̒ʂłB

-----------------------------------------------

[NO.14] Salinas ( 1/3 Syntonic Comma )

 0 
 63.50334436454176 
 189.5722726282317 
 315.6413969361974 
 379.1448290278853 
 505.2137991923792 
 568.7172577224093 
 694.7863039972288 
 758.2898128401825 
 884.3587578482146 
 1010.427804763974 
 1073.931160745337 

@EFEep[ḧBVgjbNER}iSX^WƏSPO
^XƂ̍ĵR̂P̗ʂwAs^SXimnQj̊eɑ΂āAT
x~ŊTx㏸ɂPڂ̉͂ŵP{AQڂ̉ł͂ŵQ
{DDƂw̐{ATx~ł͋tɂw̐{グ́B

-----------------------------------------------

[NO.15] Verheijen-Rossi ( 1/5 Syntonic Comma )

 0 
 83.57596887413043 
 195.3073088433401 
 307.0388435749451 
 390.6149014581021 
 502.346281084825 
 585.9223644449139 
 697.653822104783 
 781.2299577006161 
 892.9613112094669 
 1004.692768548866 
 1088.268749680757 

@EFEep[ḧBVgjbNER}iSX^WƏSPO
^XƂ̍ĵT̂P̗ʂwAs^SXimnQj̊eɑ΂āAT
x~ŊTx㏸ɂPڂ̉͂ŵP{AQڂ̉ł͂ŵQ
{DDƂw̐{ATx~ł͋tɂw̐{グ́B

-----------------------------------------------

[NO.16] Praetorius Meantone

 0 
 76.04873372162436 
 193.156670503027 
 304.8882045936918 
 386.3136247774759 
 503.4216002549815 
 579.4704500649149 
 696.5785029346265 
 778.0040005106166 
 889.7353540194674 
 1006.843406889179 
 1082.892153509504 

@S̉ǌ^̈B܂u~[g[TxvgāATx~Ŋ
Tx㏸ɂVATx~ɂQ̉ƂAɏ㏸łVځ|W
ڂ̊ԂƉ~łQځ|Rڂ̊Ԃɂ́AȊSTxƂ́B

-----------------------------------------------

[NO.17] Schnitger Meantone

 0 
 81.42532989287715 
 193.156670503027 
 299.511608422439 
 386.3136247774759 
 503.4216002549815 
 579.4704500649149 
 696.5785029346265 
 783.3805966818694 
 889.7353540194674 
 1001.466810717926 
 1082.892153509504 

@S̉ǌ^̈B܂u~[g[TxvgāATx~Ŋ
Tx㏸ɂUATx~ɂP̉ƂAɏ㏸łUځ|V
ځ|Wڂ̊ԂƉ~łPځ|Qځ|Rڂ̊Ԃɂ́AȊSTx
́B

-----------------------------------------------

[NO.25] Rameau-Legros Meantone

 0 
 86.80192606412994 
 193.156670503027 
 297.8002998711506 
 386.3136247774759 
 503.4216002549815 
 584.8470462361677 
 696.5785029346265 
 788.7571928531222 
 889.7353540194674 
 1006.843406889179 
 1082.892153509504 

@EFEep[ḧBbƂƁA܂u~[g[Txvl
ƏSTxoƂpāATx~̊Tx㏸ɁAɂl|l|l|
l|l|o|o|oƂfV[v܂ł̂VƂATx~ɂ́Aɂl|l
atbg܂ł̂QƂBcdtbgɂẮAatbgƂPIN^[
ûfV[vƂ̊uQĒ߂́B

-----------------------------------------------

[NO.26] Vogel-III Meantone

 0 
 81.42532989287715 
 193.156670503027 
 289.7354056142714 
 386.3136247774759 
 498.0450040837287 
 579.4704500649149 
 696.5785029346265 
 783.3805966818694 
 889.7353540194674 
 996.0902145466735 
 1082.892153509504 

@EFEep[ḧBbƂƁA܂u~[g[Txvl
ƏSTxoƂpāATx~̊Tx㏸ɁAɂl|l|l|
l|l|l|o|oƂfV[v܂ł̂VƂATx~ɂ́Aɂo|o
atbg܂ł̂QƂBcdtbgɂẮAatbgƂPIN^[
ûfV[vƂ̊uQĒ߂́B

-----------------------------------------------

ł́Aȏ̏ڂȗ܂ẤAuÓT
vƂW̖{Aŋ߂̃obNyu[ł̏oŎЂ
oĂ悤łAĂ݂ĂB

uEFEep[hv

@낢ȒS񏥂܂Aobn̂悤12ނ̘aׂāu
vɂ鉹ył́AǂĂüavƂ̂́AyIɋ
̂ł͂܂BŁAS̉ǂƂāAjIɂ낢lĂ
̂AuEFEep[hṽO[vłB

@obńuϗNrR[hȏWvłuϗvƂ̂́Á݂u12
ϗvł͂ȂAƂ̂͂悭mꂽłBobnDƂA
uxN}CX^[vȂǂÁuEFEep[hv̈Ȃ̂łB

-----------------------------------------------

[NO.18] Kirnberger <1>

 0 
 90.22480759007722 
 203.9098628455326 
 294.1350122511862 
 386.3136247774759 
 498.0450040837287 
 590.2236424074204 
 701.9550991058793 
 792.1800679297189 
 884.3587578482146 
 996.0902145466735 
 1088.268749680757 

@EFEep[ḧBbƂƁA܂Tx~łbTx㏸
ɂc܂ł̂QƁATx~ɂctbg܂ł̂TɂāASTx
ςݏd˂Bɂb珃RxƂāÅd߂B̂d
Tx㏸ɂQATx~ɂPASTxɂĒ߂́B

-----------------------------------------------

[NO.19] Kirnberger <2>

 0 
 90.22480759007722 
 203.9098628455326 
 294.1350122511862 
 386.3136247774759 
 498.0450040837287 
 590.2236424074204 
 701.9550991058793 
 792.1800679297189 
 895.1119501907202 
 996.0902145466735 
 1088.268749680757 

@EFEep[ḧBbƂƁALxK[P@imn
PWjɂĒ߂ꂽ̂A`ɂĂ͂d珃ȊSTxƂ炸ɁA
cƂPIN^[ûdƂ̊uQĒ߂́B

-----------------------------------------------

[NO.20] Kirnberger <3>

 0 
 90.22480759007722 
 193.156670503027 
 294.1350122511862 
 386.3136247774759 
 498.0450040837287 
 590.2236424074204 
 696.5785029346265 
 792.1800679297189 
 889.7353540194674 
 996.0902145466735 
 1088.268749680757 

@EFEep[ḧBbƂƁATx~łbTx~
ɂctbg܂ł̂T͏STxςݏdˁAb珃RxƂd
Tx㏸ɂQ͏STxɂĒ߂āAcbd̊Ԃ̂ŔA
Ԋúu~[g[TxvƂ́B

-----------------------------------------------

[NO.21] Werckmeister <1>

 0 
 90.22480759007722 
 192.1798454271267 
 294.1350122511862 
 390.2249833348783 
 498.0450040837287 
 588.2699729075684 
 696.0900903966763 
 792.1800679297189 
 888.270116405617 
 996.0902145466735 
 1092.18010823816 

@EFEep[ḧBbƂƁA܂Tx~łbTx~
ɂetbg܂łW̏STxςݏdˁÂetbgƂbƂ̊ԂS
u⋷TxvxBɂbTx㏸ɂ`܂łRxς
d˂čÂ`炳ɂTx㏸ɏSTxɂĂdƂaƂ蒼
āAaƂftbg̊ԂɑŜxړ́B

-----------------------------------------------

[NO.22] Werckmeister <2>

 0 
 82.40485953909363 
 196.0898510002075 
 294.1350122511862 
 392.1799857718369 
 498.0450040837287 
 588.2699922556199 
 694.1350872605542 
 784.3601263280858 
 890.2251188425757 
 1003.910226391999 
 1086.315099528957 

@EFEep[ḧB_CAgjbNER}iSTxɂ钷R
xƏȒRxƂ̍ĵR̂P̗ʂyATx~ŊTx㏸
ɂPڂƂQڂ̉͂ŷP{ARڂƂSڂ̉ł͂ŷQ{DDƏ
STxw̐{AXڂ͂WڂyグATx~
ł͂Pڂ͏TxAQڂ͂yグ́B

-----------------------------------------------

[NO.23] Werckmeister <3>

 0 
 96.08988079278512 
 203.9098628455326 
 300.0000209603891 
 396.0899920440812 
 503.9100127929317 
 600.0000096740258 
 701.9550991058793 
 792.1801388725744 
 900.0001338240229 
 1001.955223255876 
 1098.045116947362 

@EFEep[ḧBxN}CX^[P@imnQPj́u⋷
TxvxƏSTxoƂpāATx~̊Tx㏸ɁAɂo|
o|x|x|o|o|x|xƂWƂATx~ɂ́Aɂx|o|oƂR
Ƃ́B

-----------------------------------------------

[NO.24] Kirnberger - Werckmeistar

 0 
 90.22480759007722 
 193.156670503027 
 294.1350122511862 
 391.6902209487287 
 498.0450040837287 
 590.2236424074204 
 696.5785029346265 
 792.1800679297189 
 889.7353540194674 
 996.0902145466735 
 1093.64534585201 

@LxK[̃EFEep[hɃxN}CX^[̎@p
ŁAuxN}CX^[R@vƌĂ΂ꍇBLxK[R@
imnQOj̃~[g[TxlƏSTxoƂpāATx~̊
Tx㏸ɁAɂl|l|l|o|o|l|o|oƂWƂATx~
́Aɂo|o|oƂRƂ́B

-----------------------------------------------

[NO.27] Bruder Well-Tempered

 0 
 91.4465274031183 
 193.156670503027 
 294.867916441871 
 386.3136247774759 
 498.2893054806237 
 589.735832883742 
 696.5785029346265 
 793.1572219224947 
 889.7353540194674 
 996.5786109612473 
 1088.025138364366 

@EFEep[ḧBbƂƁA܂Tx~łbTx㏸
ɂd܂ł̂Sɂ̓~[g[TxzuAɎĉVuĂĂW
̊STxɂĂ͑SēԊuƂ́B

-----------------------------------------------

[NO.28] Bruder - Werckmeister

 0 
 91.4465274031183 
 193.156670503027 
 294.867916441871 
 391.4460485388437 
 498.2893054806237 
 589.735832883742 
 696.5785029346265 
 793.1572219224947 
 889.7353540194674 
 996.5786109612473 
 1093.157329949116 

@EFEep[ḧBu[_[imnQVj́uRx̎c
WSTxvpƃ~[g[TxlƂpāATx~̊Tx
㏸ɁAɂl|l|l|p|p|l|p|p|p|p|p|pƂ́B

-----------------------------------------------

[NO.29] Gottfried ( 1/6 Syntonic Comma )

 0 
 88.59412564246781 
 196.7410677368821 
 304.8882045936918 
 393.4824192451862 
 501.629401638054 
 590.2236424074204 
 698.370701551554 
 786.9649932747843 
 895.1119501907202 
 1003.259009655324 
 1091.853147555553 

@EFEep[ḧBȊSTxVgjbNER}iS
X^WƏSPO^XƂ̍ĵÛP̗ʂSTx܂A
Tx~ŊATx㏸ɂWATx~ɂRƂ́B

-----------------------------------------------

[NO.30] Gottfried ( 1/6 Pythagorean Comma )

 0 
 86.31486720966496 
 196.0898510002075 
 305.865029669592 
 392.1799857718369 
 501.9550100063913 
 588.2699922556199 
 698.0450931832167 
 784.3601263280858 
 894.1351251148199 
 1003.910226391999 
 1090.225105801201 

@EFEep[ḧBȊSTxs^SXER}iS
TxPQd˂̂ƂVIN^[uƂ̍ĵÛP̗ʂSTx
ATx~ŊATx㏸ɂWATx~ɂRƂ
́B

-----------------------------------------------

@ł́AۂɎĂ݂܂傤BL̉XgŁA

        @[NO.20] Kirnberger <3>

ƂIāAlɉOt쐬Aɐݒ肵Ė炵Ă݂
B

@̉́AxN}CX^[ƂƂɉ̖OƂėLȁuLxK[v
Ƃl̕҂ݏöŁAuLxK[̑R@vƌĂ΂鉹Ȃ
łA̓̂łAɂĂ͈قȂf[^LڂĂꍇ
悤Ȃ̂ŁAӂĂB

@̃Ot́AƂsvcȌ`Ă܂BɂA

        [NO.18] Kirnberger <1>
        [NO.19] Kirnberger <2>
        [NO.20] Kirnberger <3>
        [NO.21] Werckmeister <1>
        [NO.22] Werckmeister <2>
        [NO.23] Werckmeister <3>
        [NO.24] Kirnberger - Werckmeistar
        [NO.27] Bruder Well-Tempered
        [NO.28] Bruder - Werckmeister

Ȃǂ́uEFEep[hṽOt𒭂߂Ă݂ƁAȂȂj[NȌ`
Ă܂B̐}`́Aׂɂł߂ȂƂ₠܂ȂƂ͂
BSāÂƂĕɎcĂ@𐔊wIɍČĂ݂炱
ȂAƂ̂łBׂė_IȂ̂Ȃ̂łB

uEFEep[hv̉yIȈӖ

@́uLxK[̑R@v̏ꍇAuǂɓ̈vƂ̂
܂BŜƂāAyXɓ]ĂĂAˑRɋaxĂ
܂ƂȂ̂łBĂƏdvȂ̂́Au̐ivƂAyIȎ
łƂłB͂ȂȘbɂȂ܂Â
lȂ΁AlhchL[{[hŒeĊmFĂ݂ĂB

@Ƃ΁AmbnƂ܂B́Ayǂ́uvŃX^[g邩A
ƂƂɑΉ܂BAS̊y킪cijjƂ̂ł΁A
̉ݒƂāA́uʒu̐ݒv̂Ƃcɐݒ肵ĉtK
v܂B̃Ot疾炩łẢł́A̂bW[̘a
͂Ah~igƃTuh~ig̘aɂĂAȂǍDȋ
Ă܂i11P܂ł̃Ot̔ał傤jB

@āAyiłāAƂ΁uւ̓]vRJԂĂāAg
AjACւƓ]ĂƂ܂B̉ł́Aŏ̃n
Aꂼ̒ł̎vRa𒲂ׂĂ݂ƁAAax
ȂĂ܂BA܂ł̉̂悤ɁAyʖڂɂȂقǂ̈ł
܂Bɂ̂yƂł΁Aŏ̏ȋɔׂđ肪Ă
߂ɁAǂƂȂȂCA邢ْ͋̍܂̂܂B

@ł̑]Riܓx~ł90x̉]jƂ̂́AƂΊ̃n
ł́usZRav̂`i`}Ci[j́u咲v́A`i`W
[j̎aɂȂƂ܂łAƂAy̒ł͂Ȃ́uHv
悤ȋɂȂ܂BaxቺāAy̗̒ł́AȂs
ْ̍܂镔ƂȂꍇ̂łB

@āAobNyÓTh̉ył΁A特y̗H͋AHɂ
ƂɂȂ܂Bx͉̓]JԂA邢͕ʂ̌oHƂꍇ
܂Ay̍ŏIiKł́AĂ̏ꍇAŏ̊ɖ߂܂BtBi[
Ƃ킯łB̎Aa͍̋ŏ̏ȋɖ߂܂BtĂ鉹
yƎg΂̂łAuĂтɋAĂIvƂтƂƂ
ɁAy͊IȏI݂AƂƂɂȂ܂B

@̂悤ɁAEFEep[hƂ̂́A12ϗł͏Ă܂
u̐iv邽߂ɂ́AǂĂKvȉ̂łBobn̎
̉yƁAy퐻ҁAƂAꂼX̉lĂĂ͉yɉp
ƌĂ܂BāẢ͂̂܂12ϗɕω킯ł
Ȃ悤łB̐ݒ@ƂĂ@BIȕ@ƂƌA

        [NO.29] Gottfried ( 1/6 Syntonic Comma )
        [NO.30] Gottfried ( 1/6 Pythagorean Comma )

̂悤ȉȂǂ낢Ȃ̂AɊy̍HƐYVXê߂
12ϗ̑SɂȂ܂łɁAȂ200N̂łB

IWi̒ǋ

@āAOtƂƂƂɁA낢ƉɂčlĂ܂
AłWڂzāA̂Xڂɋ߂ÂĂ܂B
AFll̐EłBuIWivɒ킵܂傤B

@̗ƂāALucyTuning CodesƂЉĂ݂܂傤B҂
Charles LucyƂĺALucyScaleDevelopmentsƂƂ̏ŁA
V`[jOJĂ̂ł傤B̉Љ
LɂƁA"harmonically enhance" musiĉ߂̃VXeAƂƂŁA
un[j[v苭MIDIōAƂ̂̂悤łB
̃VXe12̌nł͂܂BƂAC#DbƂ͕ʂ̉
`[jO܂APIN^[u21ނ̉`܂B
iP̉Qʂɕ\ł܂Aɋ܂ꂽcf`
@PʂłA12*2-3=21łBbCB#łQʂłBj
ꂼ̃sb`Zgf[^ƁAMIDĨsb`xhi64j
\Ă܂BƂ΁A
	A# = A#/Bb -20/64ths or b by 31.550 conts
	Bb = A#/Bb +14/64ths or # by 22.535 cents
	B  = B      -6/64ths or b by  9.014 cents
	Cb = B     +29/64ths or # by 45.014 conts
.....ƂɁA̂`20̉f[^eĂ܂B

@M҂AbƋ̂́ǍvZłBȂƁu΁vgĂ܂B
͂ȂȂӓ_łB(^_^;)
Q̗ʂƂāAkƂ܂`܂B
	L = 2^(1/(2*pi)) = 1.11633 or 190.9858 cents
	s = (2/(2^(1/(2*pi)))^5)^(1/2) = 1.073344 or 122.5354 cents
āAIN^[u 5L+2s ASSx 3L+s ASx 4L+s Ƃ
`āÃٖV[vn͊STxŐAtbgn
SSxŐAƂ킯łB
̌ܓx~ŁASɂ̉ŉEƍłꂼ̂łB
...Ȃxꂽ悤Ȕ΂̂悤ȁAsvcȋCłB(^_^;)

@Ƃ̂́AĂł߂ɍĎȖ̂ł͂܂B
߂Ă̂́Ay̐[ɐށuavƂłBy̌@g
ƁAǂĂǂŗ_Iɔj]Ă܂A̘a_Ɖ̌n
Ƃ̎C荇̂߂ɁASނ̉ASNɂ킽člĂA
łĂ̂łB܂܂AVƁAɊÂV
ỷ\͂̂łB(^_^)

