Gallery of 3-SN scales: Difference between revisions
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See [[SN scale]] and [[Rank-3 scales]]. | See [[SN scale]] and [[Rank-3 scales]]. | ||
Scales are grouped by their ''germinations'', the sequence of introduction of generators until 3 are reached, at which point the ''primitive'' 3-SN scale is developed (the first listed under each germination), from which all others of that germination evolve. The germination of Pythagorean, Meantone, Superpyth, Mavila, and Father MOS (2-SN) scales is (2/1, 3/2). | Scales are grouped by their ''germinations'', the sequence of introduction of generators until 3 are reached, at which point the ''primitive'' 3-SN scale is developed (the first listed under each germination), from which all others of that germination evolve. The germination of Pythagorean, Meantone, Superpyth, Mavila, and Father MOS (2-SN) scales is (2/1, 3/2). Germinations are grouped by their subgroup, and within that, by the first comma tempered out in scales evolved from the germination. | ||
Commas tempered out are shown in their simplest basis set, as per SN labeling conventions. | Commas tempered out are shown in their simplest basis set, as per SN labeling conventions. | ||
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Scales are written in JI and as step patterns in their symmetric mode (scales of odd cardinality) or in the even-symmetric mode: the mode symmetric without 2/1 (scales of even cardinality). | Scales are written in JI and as step patterns in their symmetric mode (scales of odd cardinality) or in the even-symmetric mode: the mode symmetric without 2/1 (scales of even cardinality). | ||
== 2.3.5: Marvel == | |||
== (2/1, 3/2, 5/4) == | == (2/1, 3/2, 5/4) == | ||
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tempers to LssLsLsLssLsLsLsLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsLsLsLssLsLsLssLs Marvolo[72] MODMOS, LssLsLsLssLsLsssLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsssLsLssLsLsLssLs Miracle[72] MODMOS | tempers to LssLsLsLssLsLsLsLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsLsLsLssLsLsLssLs Marvolo[72] MODMOS, LssLsLsLssLsLsssLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsssLsLssLsLsLssLs Miracle[72] MODMOS | ||
== 2.3.5: Starling == | |||
== (2/1, 3/2, 6/5) == | |||
=== (2/1, 3/2, 6/5)[4] === | |||
1L 2M 1s = (5/4, 6/5, 10/9) | |||
6/5 3/2 9/5 2/1 | |||
as MLMs | |||
tempers to LLLs Dicot[4], sLss Bug[4], LsLs Antitonic[4] | |||
=== (2/1, 3/2, 6/5)[7] === | |||
1L 4M 2S = (9/8, 10/9, 27/25) | |||
10/9 6/5 4/3 3/2 5/3 9/5 2/1 | |||
as MsMLMsM | |||
tempers to LsLLLsL Meantone[7], sssLsss Porcupine[7], LsLsLsL Dicot[7] | |||
=== (2/1, 3/2, 6/5)[12] === | |||
7L 1m 4s = (27/25, 25/24, 250/243) | |||
250/243 10/9 6/5 100/81 4/3 25/18 3/2 125/81 5/3 9/5 50/27 2/1 | |||
as sLLsLmLsLLsL | |||
tempers to sLLsLsLsLLsL Meantone[12], sLLsLLLsLLsL Diminished[12] MODMOS, LLLLLsLLLLLL Ripple[12] | |||
==== (2/1, 3/2, 6/5: 126/125)[12] ==== | |||
7L 1m 4s = (27/25~15/14, 25/24~21/20, 250/243~28/27) | |||
~ 28/27 10/9 6/5 56/45 4/3 7/5 3/2 14/9 5/3 9/5 28/15 2/1 | |||
as sLLsLmLsLLsL | |||
tempers to sLLsLsLsLLsL Meantone[12], sLLsLLLsLLsL Diminished[12] MODMOS | |||
==== (2/1, 3/2, 6/5: 100/99)[12] ==== | |||
7L 1m 4s = (27/25~12/11, 25/24~33/32, 250/243~55/54) | |||
~ 55/54 10/9 6/5 11/9 4/3 11/8 3/2 55/36 5/3 9/5 11/6 2/1 | |||
as sLLsLmLsLLsL | |||
tempers to sLLsLsLsLLsL Meanenneadecal[12], sLLsLLLsLLsL Diminished[12] MODMOS | |||
==== (2/1, 3/2, 6/5: 56/55, 100/99)[12] ==== | |||
7L 1m 4s = (27/25~15/14~12/11, 25/24~21/20~33/32, 250/243~28/27~55/54) | |||
~ 28/27 10/9 6/5 11/9 4/3 7/5 3/2 14/9 5/3 9/5 11/6 2/1 | |||
as sLLsLmLsLLsL | |||
tempers to sLLsLsLsLLsL Meanenneadecal[12], sLLsLLLsLLsL Diminished[12] MODMOS | |||
== 2.5.9: Starling == | |||
== ((2/1, 5/4)[3], 9/8) == | |||
=== ((2/1, 5/4)[3], 9/8)[6] === | |||
1L 3M 2s = (256/225, 9/8, 10/9) | |||
10/9 5/4 64/45 8/5 16/9 2/1 | |||
as sMLMsM | |||
tempers to sLLLsL, ssLsss, sLsLsL | |||
==== ((2/1, 5/4)[3], 9/8: 225/224)[6] ==== | |||
1L 3M 2s = (~8/7, ~9/8, ~10/9) | |||
~ 10/9 5/4 10/7 8/5 16/9 2/1 | |||
as sMLMsM | |||
tempers to sLLLsL, ssLsss, sLsLsL | |||
== 2.5.9: Marvel == | |||
== ((2/1, 5/4)[3], 10/9) == | |||
=== ((2/1, 5/4)[3], 10/9)[6] === | |||
1L 2m 3s= (144/125, 9/8, 10/9) | |||
9/8 5/4 36/25 8/5 9/5 2/1 | |||
as msLsms | |||
tempers to ssLsss, LsLsLs, sLLLsL | |||
==== ((2/1, 5/4)[3], 10/9: 126/125)[6] ==== | |||
1L 2m 3s= (~8/7, ~9/8, ~10/9) | |||
~ 9/8 5/4 10/7 8/5 9/5 2/1 | |||
as msLsms | |||
tempers to ssLsss, LsLsLs, sLLLsL | |||
[[Category: Gallery]] | [[Category: Gallery]] | ||
[[Category: Scales]] | [[Category: Scales]] | ||