Deleted temperaments: Difference between revisions

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..."
 
Hkm (talk | contribs)
No edit summary
Tags: Mobile edit Mobile web edit Advanced mobile edit
 
(7 intermediate revisions by the same user not shown)
Line 1: Line 1:
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")
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")
 
{| class="wikitable"
== 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 [[maqam]]at (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]].
!Deprecated name
 
!Subgroup
Subgroup: 2.3.5.11
!EDO join
 
!Reason for deletion
Comma list: 2200/2187, 4125/4096
|-
 
|Oviminor
Subgroup-val mapping: {{mapping| 1 0 15 -33 | 0 1 -8 23 }}
|5 to 7-limit
 
|19 & 1600
Optimal tunings:
|More complex than egads (which shares the same generator) at lower accuracy
* WE: ~2 = 1200.5458{{c}} ~3/2 = 702.4021{{c}}
|-
* CWE: 2 = 1200.0000{{c}}, ~3/2 = 702.0906{{c}}
|Maqamschismic
 
|11 to 13-limit
{{Optimal ET sequence|legend=0| 12e, …, 41, 53, 94, 147e, 241ce, 335ce }}
|41 & 53
 
|Removes prime 7 from cassandra even though prime 11 has higher complexity and error
Badness (Sintel): 1.34
|-
 
|Quintapole
=== 2.3.5.11.13 subgroup ===
|7 to 11-limit
Subgroup: 2.3.5.11.13
|12 & 85
 
|Medium accuracy is not worth the high complexity; could lead to confusion with similarly named "quintupole"
Comma list: 325/324, 352/351, 4125/4096
|-
 
|Quintapole > Galeleic
Subgroup-val mapping: {{mapping| 1 0 15 -33 -28 | 0 1 -8 23 20 }}
|13 to 19-limit
 
|12f & 85fg
Optimal tunings:
|Medium accuracy is not worth the high complexity; not even supported by any patent vals
* WE: ~2 = 1200.4565{{c}} ~3/2 = 702.3057{{c}}
|-
* CWE: 2 = 1200.0000{{c}}, ~3/2 = 702.0485{{c}}
|Quintapole > Catagali
 
|13 to 19-limit
{{Optimal ET sequence|legend=0| 12e, …, 41, 53, 94, 147e }}
|12f & 85g
 
|Medium accuracy is not worth the high complexity; not even supported by any patent vals
Badness (Sintel): 0.862
|-
|Quintapole > Quintain
|11 to 13-limit
|12 & 85e
|Medium accuracy is not worth the high complexity
|-
|Bixby
|5-limit
|1 & 1c
|Too coarse even for detempering
|-
|Archon
|5-limit
|1 & 1b
|Too coarse even for detempering
|-
|Seesaw
|2.3.5(.11)
|1b & 2
|Too coarse even for detempering
|-
|Seesaw > Heavy windmill
|7 to 11-limit
|1bd & 2
|Too coarse even for detempering
|-
|Seesaw > Light windmill
|7 to 11-limit
|1b & 2
|Too coarse even for detempering
|-
|Sixseven
|2.3.7(.13)
|1 & 3
|Too coarse even for detempering
|-
|Sixseven > Heaven
|2.3.7.11(.13)
|1e & 3
|Too coarse even for detempering
|-
|Sept
|7 to 13-limit
|7 & 14de
|No reason to leave prime 5 free in 7et rather than prime 7
|-
|Dog
|2.3.19
|7 & 16
|No reason to interpret the resultant scales as dog rather than mavila / unenlightening restriction of armodog
|}
[[Category:Temperament collections]]