Diaschismic family: Difference between revisions

→Pajara: - 2.3.5.7.17 subgroup (canonical subgroup restriction); 13-limit pajara -> paja
→Pajara: move paja to the bottom as it's the least accurate
Line 212: Line 212:


Badness (Sintel): 0.645
Badness (Sintel): 0.645
==== Paja ====
This used to be considered the canonical 13-limit pajara, decanonized in 2026 in favor of the no-13 17-limit extension.
Subgroup: 2.3.5.7.11.13
Comma list: 50/49, 64/63, 65/63, 99/98
{{Mapping|legend=0| 2 0 11 12 26 1 | 0 1 -2 -2 -6 2 }}
Optimal tunings:
* WE: ~7/5 = 599.9732{{c}}, ~3/2 = 708.8873{{c}}
* CWE: ~7/5 = 600.0000{{c}}, ~3/2 = 708.9227{{c}}
{{Optimal ET sequence|legend=0| 10e, 12, 22 }}
Badness (Sintel): 1.14
===== 17-limit =====
Subgroup: 2.3.5.7.11.13.17
Comma list: 50/49, 52/51, 64/63, 65/63, 99/98
{{Mapping|legend=0| 2 0 11 12 26 1 5 | 0 1 -2 -2 -6 2 1 }}
Optimal tunings:
* WE: ~7/5 = 599.8871{{c}}, ~3/2 = 708.6725{{c}}
* CWE: ~7/5 = 600.0000{{c}}, ~3/2 = 708.8176{{c}}
{{Optimal ET sequence|legend=0| 10e, 12, 22 }}
Badness (Sintel): 1.06


==== Pajarina ====
==== Pajarina ====
Line 304: Line 272:


Badness (Sintel): 0.968
Badness (Sintel): 0.968
==== Paja ====
This used to be considered the canonical 13-limit pajara, decanonized in 2026 in favor of the no-13 17-limit extension.
Subgroup: 2.3.5.7.11.13
Comma list: 50/49, 64/63, 65/63, 99/98
{{Mapping|legend=0| 2 0 11 12 26 1 | 0 1 -2 -2 -6 2 }}
Optimal tunings:
* WE: ~7/5 = 599.9732{{c}}, ~3/2 = 708.8873{{c}}
* CWE: ~7/5 = 600.0000{{c}}, ~3/2 = 708.9227{{c}}
{{Optimal ET sequence|legend=0| 10e, 12, 22 }}
Badness (Sintel): 1.14
===== 17-limit =====
Subgroup: 2.3.5.7.11.13.17
Comma list: 50/49, 52/51, 64/63, 65/63, 99/98
{{Mapping|legend=0| 2 0 11 12 26 1 5 | 0 1 -2 -2 -6 2 1 }}
Optimal tunings:
* WE: ~7/5 = 599.8871{{c}}, ~3/2 = 708.6725{{c}}
* CWE: ~7/5 = 600.0000{{c}}, ~3/2 = 708.8176{{c}}
{{Optimal ET sequence|legend=0| 10e, 12, 22 }}
Badness (Sintel): 1.06


=== Pajarous ===
=== Pajarous ===