Misty family: Difference between revisions

Rework on intro and head
Move the large chunk of subgroup extensions to the bottom
Line 44: Line 44:


[[Badness]]: 0.036802
[[Badness]]: 0.036802
=== 2.3.5.7.17 subgroup ===
The [[S-expression]]-based comma list for this extension is {([[5120/5103|S8/S9]],) [[2025/2023|S15/S17]], [[256/255|S16]], [[1701/1700|S18/S20]](, [[2500/2499|S50]])}, and for the 2.3.5.7.17.19 subgroup extension, {([[5120/5103|S8/S9]],) [[256/255|S16]], [[324/323|S18]], [[400/399|S20]], [[1445/1444|S17/S19]](, [[2500/2499|S50]])}.
Subgroup: 2.3.5.7.17
Comma list: 256/255, 1701/1700, 2025/2023
Sval mapping: {{mapping| 3 0 26 56 -2 | 0 1 -4 -10 3 }}
: sval mapping generators: ~34/27, ~3
Optimal tuning (CTE): ~34/27 = 1\3, ~3/2 = 703.0963
Optimal ET sequence: {{Optimal ET sequence| 12, 87, 99, 309cdg, 408cdgg, 507cdggg }}
Badness: 0.0186
==== 2.3.5.7.17.19 subgroup ====
Subgroup: 2.3.5.7.17.19
Comma list: 256/255, 324/323, 400/399, 476/475
Sval mapping: {{mapping| 3 0 26 56 -2 8 | 0 1 -4 -10 3 1 }}
: sval mapping generators: ~24/19, ~3
Optimal tuning (CTE): ~24/19 = 1\3, ~3/2 = 703.0778
Optimal ET sequence: {{Optimal ET sequence| 12, 87, 99, 210gh, 309cdghh }}
Badness: 0.0132


=== Undecimal misty ===
=== Undecimal misty ===
Line 247: Line 215:


Badness: 0.051348
Badness: 0.051348
== Subgroup extensions ==
=== Misty (2.3.5.7.17) ===
The [[S-expression]]-based comma list for this extension is {([[5120/5103|S8/S9]]), [[2025/2023|S15/S17]], [[256/255|S16]], [[1701/1700|S18/S20]], ([[2500/2499|S50]])}, and for the 2.3.5.7.17.19-subgroup extension, {([[5120/5103|S8/S9]]), [[256/255|S16]], [[324/323|S18]], [[400/399|S20]], [[1445/1444|S17/S19]], ([[2500/2499|S50]])}.
Subgroup: 2.3.5.7.17
Comma list: 256/255, 1701/1700, 2025/2023
Subgroup-val mapping: {{mapping| 3 0 26 56 -2 | 0 1 -4 -10 3 }}
: mapping generators: ~34/27, ~3
Optimal tuning (CTE): ~34/27 = 1\3, ~3/2 = 703.0963
Optimal ET sequence: {{Optimal ET sequence| 12, 87, 99, 309cdg, 408cdgg, 507cdggg }}
Badness: 0.0186
==== 2.3.5.7.17.19 subgroup ====
Subgroup: 2.3.5.7.17.19
Comma list: 256/255, 324/323, 400/399, 476/475
Subgroup-val mapping: {{mapping| 3 0 26 56 -2 8 | 0 1 -4 -10 3 1 }}
Optimal tuning (CTE): ~24/19 = 1\3, ~3/2 = 703.0778
Optimal ET sequence: {{Optimal ET sequence| 12, 87, 99, 210gh, 309cdghh }}
Badness: 0.0132


[[Category:Temperament families]]
[[Category:Temperament families]]
[[Category:Misty family| ]] <!-- main article -->
[[Category:Misty family| ]] <!-- main article -->
[[Category:Rank 2]]
[[Category:Rank 2]]