Gallery of 3-SN scales: Difference between revisions
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{| class="wikitable" | {| class="wikitable" | ||
|+Rank-2 temperings (mode 1) | |+Rank-2 temperings (mode 1) | ||
!Equivalence | ! Equivalence | ||
!Step pattern | ! Step pattern | ||
!Scale | ! Scale | ||
!Comma list | ! Comma list | ||
|- | |- | ||
|m = s | | m = s | ||
|[[OTC 2L 8s|ssLsssLsss]] | | [[OTC 2L 8s|ssLsssLsss]] | ||
|[[ | | [[Diaschismic]][10] 4M (pentachordal decatonic) | ||
|2048/2025 | | 2048/2025 | ||
|- | |- | ||
|L = m | | L = m | ||
|[[7L 3s|sLLLsLLLsL]] | | [[7L 3s|sLLLsLLLsL]] | ||
|[[ | | [[Dicot]][10] modmos | ||
|25/24 | | 25/24 | ||
|- | |- | ||
|L = s | | L = s | ||
|[[5L 5s|LsLsLsLsLs]] | | [[5L 5s|LsLsLsLsLs]] | ||
|[[ | | [[Blackwood]][10] | ||
|256/243 | | 256/243 | ||
|- | |- | ||
|L - m = m - s | | L - m = m - s | ||
|sLALsLALsL | | sLALsLALsL | ||
|[[ | | [[Negri]][10] modmos | ||
|16875/16384 | | 16875/16384 | ||
|- | |- | ||
|s = 0 | | s = 0 | ||
|[[2L 5s|sLssLss]] | | [[2L 5s|sLssLss]] | ||
|[[Mavila]][7] | | [[Mavila]][7] | ||
|135/128 | | 135/128 | ||
|- | |- | ||
|m = 0 | | m = 0 | ||
|[[2L 3s|sLsLs]] | | [[2L 3s|sLsLs]] | ||
|[[ | | [[Father]][5] | ||
|16/15 | | 16/15 | ||
|} | |} | ||
=====[[SNS ((2/1, 3/2)-5, 16/15: 225/224)-10|((2/1, 3/2)[5], 16/15: 225/224)[10] (Marvel)]]===== | =====[[SNS ((2/1, 3/2)-5, 16/15: 225/224)-10|((2/1, 3/2)[5], 16/15: 225/224)[10] (Marvel)]]===== | ||
{| class="wikitable" | {| class="wikitable" | ||
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14c-ET: (3, 1, 1); 17-ET: (4, 2, 1); 19-ET: (5, 2, 1); 22-ET: (6, 3, 1) 24-ET: (7, 3, 1); 27-ET: (8, 4, 1); 41-ET: (11, 5, 2); 46-ET: (13, 6, 2); 68-ET: (19, 9, 3); 87-ET: (24,11,4) | 14c-ET: (3, 1, 1); 17-ET: (4, 2, 1); 19-ET: (5, 2, 1); 22-ET: (6, 3, 1) 24-ET: (7, 3, 1); 27-ET: (8, 4, 1); 41-ET: (11, 5, 2); 46-ET: (13, 6, 2); 68-ET: (19, 9, 3); 87-ET: (24,11,4) | ||
==== (2/1, 3/2, 9/7: 245/243, 385/384)[10] Sensamagic ==== | ===== (2/1, 3/2, 9/7: 245/243, 385/384)[10] Sensamagic ===== | ||
2L 1m 7s = (~135/112, ~35/32, 28/27~36/35~33/32) | 2L 1m 7s = (~135/112, ~35/32, 28/27~36/35~33/32) | ||
| Line 5,734: | Line 5,736: | ||
14c-ET: (2, 0, 1); 17-ET: (3, 1, 1); 19-ET: (4, 1, 1); 22-ET: (5, 2, 1) 24-ET: (6, 2, 1); 27-ET: (7, 3, 1); 41-ET: (9, 3, 2); 46-ET: (11, 4, 2); 68-ET: (16, 6, 3); 87-ET: (20, 7,4) | 14c-ET: (2, 0, 1); 17-ET: (3, 1, 1); 19-ET: (4, 1, 1); 22-ET: (5, 2, 1) 24-ET: (6, 2, 1); 27-ET: (7, 3, 1); 41-ET: (9, 3, 2); 46-ET: (11, 4, 2); 68-ET: (16, 6, 3); 87-ET: (20, 7,4) | ||
==== (2/1, 3/2, 9/7: 245/243, 385/384)[13] Sensamagic ==== | ===== (2/1, 3/2, 9/7: 245/243, 385/384)[13] Sensamagic ===== | ||
2L 1m 10s = (~75/64, 135/128~35/33, 28/27~36/35~33/32) | 2L 1m 10s = (~75/64, 135/128~35/33, 28/27~36/35~33/32) | ||
| Line 5,788: | Line 5,790: | ||
17-ET: (3, 1, 1); 19-ET: (4, 1, 1); 22f-ET: (5, 2, 1) 24-ET: (6, 2, 1); 36-ET: (7, 2, 2); 41-ET: (9, 3, 2); 53-ET: (10, 3, 3); 58-ET: (12, 4, 3); 77-ET: (16, 5, 4); 94-ET: (19, 6, 5) | 17-ET: (3, 1, 1); 19-ET: (4, 1, 1); 22f-ET: (5, 2, 1) 24-ET: (6, 2, 1); 36-ET: (7, 2, 2); 41-ET: (9, 3, 2); 53-ET: (10, 3, 3); 58-ET: (12, 4, 3); 77-ET: (16, 5, 4); 94-ET: (19, 6, 5) | ||
==== (2/1, 3/2, 9/7: 351/350, 676/675)[13] ==== | ===== (2/1, 3/2, 9/7: 351/350, 676/675)[13] ===== | ||
2L 1m 10s = (~169/147, ~117/112, 28/27~27/26~26/25) | 2L 1m 10s = (~169/147, ~117/112, 28/27~27/26~26/25) | ||
| Line 5,814: | Line 5,816: | ||
53-ET: (7, 3, 0); 58-ET: (8, 2, 1); 77-ET: (11, 3, 1); 111-ET: (15, 5, 1); 130-ET: (18, 6, 1) | 53-ET: (7, 3, 0); 58-ET: (8, 2, 1); 77-ET: (11, 3, 1); 111-ET: (15, 5, 1); 130-ET: (18, 6, 1) | ||
== 2.3.11 Pentacircle == | |||
=== ((2/1, 3/2)[5], 12/11) === | |||
==== ((2/1, 3/2)[5], 12/11)[10] ==== | |||
5L 2M 3s = (12/11, 88/81, 33/32) | |||
12/11 9/8 27/22 4/3 16/11 3/2 18/11 27/16 81/44 2/1 as LsLMLsLsLM | |||
==== ((2/1, 3/2)[5], 12/11: 896/891)[10] ==== | |||
5L 2M 3s = (12/11, 88/81, 33/32~28/27) | |||
~ 12/11 9/8 27/22 4/3 16/11 3/2 18/11 27/16 81/44 2/1 as LsLMLsLsLM | |||
==== ((2/1, 3/2)[5], 12/11: 896/891)[17] ==== | |||
5L 2M 10s = (128/121~81/77, 256/243~22/21, 33/32~28/27) | |||
~ 28/27 12/11 9/8 32/27 11/9 9/7 4/3 11/8 16/11 3/2 14/9 18/11 27/16 16/9 11/6 27/14 2/1 as sLsMsLssLssLsMsLs | |||
== 2.3.13 Squbema == | |||
=== ((2/1, 3/2)[5], 13/12) === | |||
==== ((2/1, 3/2)[5], 13/12)[10] ==== | |||
5L 2M 3s = (13/12, 128/117, 27/26) | |||
13/12 9/8 39/32 4/3 13/9 3/2 13/8 27/16 117/64 2/1 as LsLMLsLsLM | |||
==== ((2/1, 3/2)[5], 13/12: 729/728)[10] ==== | |||
5L 2M 3s = (13/12, 128/117, 27/26~28/27) | |||
~ 13/12 9/8 39/32 4/3 13/9 3/2 13/8 27/16 117/64 2/1 as LsLMLsLsLM | |||
===== ((2/1, 3/2)[5], 13/12: 729/728)[17] ===== | |||
5L 2M 10s = (91/81, 256/243~96/91, 27/26~28/27) | |||
~ 28/27 13/12 9/8 32/27 16/13 9/7 4/3 18/13 13/9 3/2 14/9 13/8 27/16 16/9 24/13 27/14 2/1 as sLsMsLssLssLsMsLs | |||
===== ((2/1, 3/2)[5], 12/11~13/12: 144/143, 729/728)[17] ===== | |||
5L 2M 10s = (91/81~81/77, 256/243~96/91~22/21, 27/26~28/27~33/32) | |||
~ 28/27 12/11 9/8 32/27 11/9 9/7 4/3 11/8 13/9 3/2 14/9 13/8 27/16 16/9 12/11 27/14 2/1 as sLsMsLssLssLsMsLs | |||
{{Navbox scale gallery}} | {{Navbox scale gallery}} | ||