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Gallery of 3-SN scales: Difference between revisions

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== (2/1, 3/2, 5/4) ==
== (2/1, 3/2, 5/4) ==


==== (2/1, 3/2, 5/4)[4] ====
=== (2/1, 3/2, 5/4)[4] ===
2L 1M 1s = (5/4, 6/5, 16/15)
2L 1M 1s = (5/4, 6/5, 16/15)


Line 16: Line 16:
tempers to LLLs Dicot[4], Antitonic[4] LsLs
tempers to LLLs Dicot[4], Antitonic[4] LsLs


==== (2/1, 3/2, 5/4)[7] ====
=== (2/1, 3/2, 5/4)[7] ===
2L 1M 4s = (75/64, 9/8, 16/15)
2L 1M 4s = (75/64, 9/8, 16/15)


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tempers to sLsLsLs Dicot[7], sLsssLs Mavila[7], LLLsLLL Enipucrop[7]
tempers to sLsLsLs Dicot[7], sLsssLs Mavila[7], LLLsLLL Enipucrop[7]


'''(2/1, 3/2, 5/4: 225/224)[7]'''
==== '''(2/1, 3/2, 5/4: 225/224)[7]''' ====
 
2L 1M 4s = (75/64~7/6, ~9/8, 16/15~15/14)
2L 1M 4s = (75/64~7/6, ~9/8, 16/15~15/14)


~ 16/15 5/4 4/3 3/2 8/5 15/8 as sLsMsLs
~ 16/15 5/4 4/3 3/2 8/5 15/8 as sLsMsLs


==== (2/1, 3/2, 5/4)[10] ====
=== (2/1, 3/2, 5/4)[10] ===
2L 7m 1s = (1125/1024, 16/15, 135/128)
2L 7m 1s = (1125/1024, 16/15, 135/128)


Line 36: Line 35:
tempers to sLsssssLss Srutal[10] MODMOS, LsLLsLLsLL Dicot[10]
tempers to sLsssssLss Srutal[10] MODMOS, LsLLsLLsLL Dicot[10]


'''(2/1, 3/2, 5/4: 225/224)[10]'''
==== '''(2/1, 3/2, 5/4: 225/224)[10]''' ====
 
2L 7M 1s = (35/32~49/45, 16/15~15/14, 135/128~21/20)
2L 7M 1s = (35/32~49/45, 16/15~15/14, 135/128~21/20)


Line 44: Line 42:
tempers to sLsssssLss Pajara[10] MODMOS, LsLLsLLsLL Dicot[10]         
tempers to sLsssssLss Pajara[10] MODMOS, LsLLsLLsLL Dicot[10]         


'''(2/1, 3/2, 5/4: 225/224, 385/384)[10]'''
==== '''(2/1, 3/2, 5/4: 225/224, 385/384)[10]''' ====
 
2L 1M 7s = (35/32~49/45~12/11, 16/15~15/14, 135/128~21/20)
2L 1M 7s = (35/32~49/45~12/11, 16/15~15/14, 135/128~21/20)


~ 16/15 7/6 5/4 4/3 10/7 3/2 8/5 7/4 15/8 as sLssMssLss
~ 16/15 7/6 5/4 4/3 10/7 3/2 8/5 7/4 15/8 as sLssMssLss


'''(2/1, 3/2, 5/4: 225/224, 441/440)[10]'''
==== '''(2/1, 3/2, 5/4: 225/224, 441/440)[10]''' ====
 
2L 7m 1s = (35/32~49/45, 16/15~15/14, 135/128~21/20~22/21)  
2L 7m 1s = (35/32~49/45, 16/15~15/14, 135/128~21/20~22/21)  


~ 16/15 7/6 5/4 4/3 10/7 3/2 8/5 7/4 15/8 as sLssMssLss
~ 16/15 7/6 5/4 4/3 10/7 3/2 8/5 7/4 15/8 as sLssMssLss


==== (2/1, 3/2, 5/4: 225/224)[19] ====
=== (2/1, 3/2, 5/4: 225/224)[19] ===
10L 2M 7s = (135/128~21/20, 25/24~28/27, 64/63~50/49)
10L 2M 7s = (135/128~21/20, 25/24~28/27, 64/63~50/49)


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tempers to LsLsLLLsLsLsLLLsLsL Meantone[19] MODMOS, LsLsLsLsLsLsLsLsLsL Negri[19]
tempers to LsLsLLLsLsLsLLLsLsL Meantone[19] MODMOS, LsLsLsLsLsLsLsLsLsL Negri[19]


'''(2/1, 3/2, 5/4: 225/224, 385/384)[19]'''
==== '''(2/1, 3/2, 5/4: 225/224, 385/384)[19]''' ====
 
10L 2M 7s = (135/128~21/20, 25/24~28/27, 64/63~50/49~55/54)
10L 2M 7s = (135/128~21/20, 25/24~28/27, 64/63~50/49~55/54)


Line 71: Line 66:
tempers to LsLsLLLsLsLsLLLsLsL Meanpop[19] MODMOS, LsLsLsLsLsLsLsLsLsL Negri[19]
tempers to LsLsLLLsLsLsLLLsLsL Meanpop[19] MODMOS, LsLsLsLsLsLsLsLsLsL Negri[19]


'''(2/1, 3/2, 5/4: 225/224, 441/440)[19]'''  
==== '''(2/1, 3/2, 5/4: 225/224, 441/440)[19]''' ====
 
10L 2M 7s = (135/128~21/20~22/21, 25/24~28/27, 64/63~50/49~45/44~56/55)
10L 2M 7s = (135/128~21/20~22/21, 25/24~28/27, 64/63~50/49~45/44~56/55)


Line 79: Line 73:
tempers to LsLsLLLsLsLsLLLsLsL Meantone[19] MODMOS, LsLsLsLsLsLsLsLsLsL Negroni[19]
tempers to LsLsLLLsLsLsLLLsLsL Meantone[19] MODMOS, LsLsLsLsLsLsLsLsLsL Negroni[19]


==== (2/1, 3/2, 5/4: 225/224, 441/440)[31] ====
=== (2/1, 3/2, 5/4: 225/224, 441/440)[31] ===
10L+19m+2s = (~33/32, 64/63~50/49~45/44~56/55, 49/48~55/54):  
10L+19m+2s = (~33/32, 64/63~50/49~45/44~56/55, 49/48~55/54):  


Line 90: Line 84:
== ((2/1, 5/4)[3], 16/15) ==
== ((2/1, 5/4)[3], 16/15) ==


==== ((2/1, 5/4)[3], 16/15)[6] ====
=== ((2/1, 5/4)[3], 16/15)[6] ===
1L 2M 3s = (6/5, 75/64, 16/15)
1L 2M 3s = (6/5, 75/64, 16/15)


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tempers to LsLsLs Augmented[6], ssLsss 1125/1024[6], LsssLs Antitonic[6] MODMOS\
tempers to LsLsLs Augmented[6], ssLsss 1125/1024[6], LsssLs Antitonic[6] MODMOS\


'''((2/1, 5/4)[3], 16/15: 225/224)[6]'''  
==== '''((2/1, 5/4)[3], 16/15: 225/224)[6]''' ====
 
1L 2M 3s = (6/5, 75/64~7/6, 16/15~14/13)  
1L 2M 3s = (6/5, 75/64~7/6, 16/15~14/13)  


~ 7/6 5/4 3/2 8/5 15/8 2/1 as MsLsMs
~ 7/6 5/4 3/2 8/5 15/8 2/1 as MsLsMs


==== ((2/1, 5/4)[3], 16/15)[9] ====
=== ((2/1, 5/4)[3], 16/15)[9] ===
1L 2M 6s = (9/8, 1125/1024, 16/15)
1L 2M 6s = (9/8, 1125/1024, 16/15)


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tempers to sLssLssLs Augmented[9], sLsssssLs Mavila[9] MODMOS
tempers to sLssLssLs Augmented[9], sLsssssLs Mavila[9] MODMOS


'''((2/1, 5/4)[3], 16/15: 225/224)[9]'''
==== '''((2/1, 5/4)[3], 16/15: 225/224)[9]''' ====
 
1L 2M 6s = (~9/8, 35/32~49/45, 16/15~15/14)
1L 2M 6s = (~9/8, 35/32~49/45, 16/15~15/14)


~ 16/15 7/6 5/4 4/3 3/2 8/5 12/7 15/8 2/1 as sMssLssMs
~ 16/15 7/6 5/4 4/3 3/2 8/5 12/7 15/8 2/1 as sMssLssMs


'''((2/1, 5/4)[3], 16/15: 225/224, 385/384)[9]'''
==== '''((2/1, 5/4)[3], 16/15: 225/224, 385/384)[9]''' ====
 
1L 2M 6s = (~9/8, 35/32~49/45~12/11, 16/15~15/14)
1L 2M 6s = (~9/8, 35/32~49/45~12/11, 16/15~15/14)


~ 16/15 7/6 5/4 4/3 3/2 8/5 12/7 15/8 2/1 as sMssLssMs
~ 16/15 7/6 5/4 4/3 3/2 8/5 12/7 15/8 2/1 as sMssLssMs


==== ((2/1, 5/4)[3], 16/15: 225/224)[12] ====
=== ((2/1, 5/4)[3], 16/15: 225/224)[12] ===
9L 1M 2s = (16/15~15/14, 135/128~21/20, ~49/48)
9L 1M 2s = (16/15~15/14, 135/128~21/20, ~49/48)


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tempers to LsLLLsLLLsLLs August[12], LsLLLLLLLsLL Pajara[12] MODMOS
tempers to LsLLLsLLLsLLs August[12], LsLLLLLLLsLL Pajara[12] MODMOS


'''((2/1, 5/4)[3], 16/15: 225/224, 385/384)[12]'''
==== '''((2/1, 5/4)[3], 16/15: 225/224, 385/384)[12]''' ====
 
9L 1M 2s = (16/15~15/14, 135/128~21/20, 49/48~45/44~56/55)
9L 1M 2s = (16/15~15/14, 135/128~21/20, 49/48~45/44~56/55)


~ 16/15 12/11 7/6 5/4 4/3 7/5 3/2 8/5 12/7 7/4 15/8 2/1 as LsLLLmLLLsLL
~ 16/15 12/11 7/6 5/4 4/3 7/5 3/2 8/5 12/7 7/4 15/8 2/1 as LsLLLmLLLsLL


==== ((2/1, 3/2)[5], 16/15: 225/224, 385/384)[22] ====
=== ((2/1, 3/2)[5], 16/15: 225/224, 385/384)[22] ===
9L 1M 12s = (~81/77, 36/35~33/32, 49/48~45/44~56/55)
9L 1M 12s = (~81/77, 36/35~33/32, 49/48~45/44~56/55)


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== ((2/1, 3/2)[5], 16/15) ==
== ((2/1, 3/2)[5], 16/15) ==


==== ((2/1, 3/2)[5], 16/15)[10] ====
=== ((2/1, 3/2)[5], 16/15)[10] ===
2L 5m 3s = (10/9, 16/15, 135/128)
2L 5m 3s = (10/9, 16/15, 135/128)


~ 135/128 9/8 5/4 4/3 45/32 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm
~ 135/128 9/8 5/4 4/3 45/32 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm


'''((2/1, 3/2)[5], 16/15: 225/224)[10]'''
==== '''((2/1, 3/2)[5], 16/15: 225/224)[10]''' ====
 
2L 5m 3s = (10/9, 16/15~15/14, 135/128~21/20)
2L 5m 3s = (10/9, 16/15~15/14, 135/128~21/20)


~ 21/20 9/8 5/4 4/3 7/5 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm
~ 21/20 9/8 5/4 4/3 7/5 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm


==== ((2/1, 3/2)[5], 16/15)[17] ====
=== ((2/1, 3/2)[5], 16/15)[17] ===
10L 2M 5s = (135/128, 256/243, 2048/2025)
10L 2M 5s = (135/128, 256/243, 2048/2025)


135/128 16/15 9/8 32/27 5/4 81/64 4/3 45/32 64/45 3/2 128/81 8/5 27/16 16/9 15/8 256/135 2/1 as LsLmLsLLsLLsLmLsL
135/128 16/15 9/8 32/27 5/4 81/64 4/3 45/32 64/45 3/2 128/81 8/5 27/16 16/9 15/8 256/135 2/1 as LsLmLsLLsLLsLmLsL


'''((2/1, 3/2)[5], 16/15: 225/224)[17]'''
==== '''((2/1, 3/2)[5], 16/15: 225/224)[17]''' ====
 
10L 2M 5s = (135/128~21/20, 256/243, 2048/2025~50/49~64/63)
10L 2M 5s = (135/128~21/20, 256/243, 2048/2025~50/49~64/63)


~ 21/20 16/15 9/8 32/27 5/4 81/64 4/3 7/5 10/7 3/2 128/81 8/5 27/16 16/9 15/8 40/21 2/1 as LsLmLsLLsLLsLmLsL
~ 21/20 16/15 9/8 32/27 5/4 81/64 4/3 7/5 10/7 3/2 128/81 8/5 27/16 16/9 15/8 40/21 2/1 as LsLmLsLLsLLsLmLsL


'''((2/1, 3/2)[5], 16/15: 225/224, 441/440)[17]'''
==== '''((2/1, 3/2)[5], 16/15: 225/224, 441/440)[17]''' ====
 
10L 2M 5s = (135/128~21/20~22/21, 256/243~35/33, 2048/2025~50/49~64/63~45/44~56/55)
10L 2M 5s = (135/128~21/20~22/21, 256/243~35/33, 2048/2025~50/49~64/63~45/44~56/55)


~ 22/21 16/15 9/8 32/27 5/4 81/64 4/3 7/5 10/7 3/2 128/81 8/5 27/16 16/9 15/8 21/11 2/1 as LsLmLsLLsLLsLmLsL
~ 22/21 16/15 9/8 32/27 5/4 81/64 4/3 7/5 10/7 3/2 128/81 8/5 27/16 16/9 15/8 21/11 2/1 as LsLmLsLLsLLsLmLsL
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