Deleted temperaments

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Revision as of 02:25, 16 June 2026 by Hkm (talk | contribs) (Created page with "These temperament names are no longer in use, although older material may still reference them. If one must refer to these temperaments, it is recommended to do so with an ET join (e. g. "11-limit 12 & 85") or as a restriction of a different temperament (e. g. "no-7s cassandra") == Maqamschismic (2.3.5.11) == Proposed by Eufalesio in 2026, maqamschismic is equivalent to the no-7 cassandra. The 2.3.5.11.13 subgroup adds 352/351 to the comma list and tempers 1...")
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These temperament names are no longer in use, although older material may still reference them. If one must refer to these temperaments, it is recommended to do so with an ET join (e. g. "11-limit 12 & 85") or as a restriction of a different temperament (e. g. "no-7s cassandra")

Maqamschismic (2.3.5.11)

Proposed by Eufalesio in 2026, maqamschismic is equivalent to the no-7 cassandra. The 2.3.5.11.13 subgroup adds 352/351 to the comma list and tempers 11/9~39/32 together (and 16/13~27/22), providing a very simple framework for tuning maqamat (especially the Turkish version), as outlined by Ozan Yarman. 41edo and 53edo are simplest, but 94edo is more optimized. It is only slightly worse than the no-7 helenus.

Subgroup: 2.3.5.11

Comma list: 2200/2187, 4125/4096

Subgroup-val mapping: [1 0 15 -33], 0 1 -8 23]]

Optimal tunings:

  • WE: ~2 = 1200.5458 ¢ ~3/2 = 702.4021 ¢
  • CWE: 2 = 1200.0000 ¢, ~3/2 = 702.0906 ¢

Optimal ET sequence: 12e, …, 41, 53, 94, 147e, 241ce, 335ce

Badness (Sintel): 1.34

2.3.5.11.13 subgroup

Subgroup: 2.3.5.11.13

Comma list: 325/324, 352/351, 4125/4096

Subgroup-val mapping: [1 0 15 -33 -28], 0 1 -8 23 20]]

Optimal tunings:

  • WE: ~2 = 1200.4565 ¢ ~3/2 = 702.3057 ¢
  • CWE: 2 = 1200.0000 ¢, ~3/2 = 702.0485 ¢

Optimal ET sequence: 12e, …, 41, 53, 94, 147e

Badness (Sintel): 0.862