Breedsmic temperaments: Difference between revisions
Improve intro to each temp |
→Hemififths: + 58 & 181 extension |
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Badness (Sintel): 1.29 | Badness (Sintel): 1.29 | ||
=== Cutefourths === | |||
This extension splits the neutral third plus an octave in three, with a ploidacot signature of beta-hexacot. The generator is an acute fourth in size (but not representing [[27/20]]), hence the name. | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 2401/2400, 4000/3993, 5120/5103 | |||
Mapping: {{mapping| 1 -1 -30 -14 -28 | 0 6 75 39 73 }} | |||
: mapping generators: ~2, ~66/49 | |||
Optimal tunings: | |||
* WE: ~2 = 1199.7345{{c}}, ~66/49 = 517.0436{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~66/49 = 517.1543{{c}} | |||
{{Optimal ET sequence|legend=0| 58, 181, 239, 1014bcee }} | |||
Badness (Sintel): 1.71 | |||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 352/351, 847/845, 1575/1573, 2401/2400 | |||
Mapping: {{mapping| 1 -1 -30 -14 -28 -20 | 0 6 75 39 73 55 }} | |||
Optimal tunings: | |||
* WE: ~2 = 1199.6427{{c}}, ~66/49 = 517.0035{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~66/49 = 517.1524{{c}} | |||
{{Optimal ET sequence|legend=0| 58, 181, 239f }} | |||
Badness (Sintel): 1.45 | |||
== Osiris == | == Osiris == | ||