Breedsmic temperaments: Difference between revisions

Improve intro to each temp
Hemififths: + 58 & 181 extension
Line 530: Line 530:


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 ==