Xenharmonic Wiki:Deleted temperament entries: Difference between revisions

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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")
This page collects deleted entries of [[regular temperament]]s from the Xenharmonic Wiki due to not meeting our [[Xenharmonic Wiki: Notability guidelines|notability guidelines]], although other materials may still reference them. We recommend to refer to these temperaments with an ET [[join]] (e. g. "11-limit 12 & 85") or as a [[restriction]] of a different temperament (e. g. "no-7's cassandra").


== Maqamschismic (2.3.5.11) ==
{| class="wikitable" style="margin: auto;"
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]].
|+
! Name
! Subgroup
! Mapping
! Reason for deletion
|-
| Meanundeci
| 11- to 13-limit
| {{Mapping| 1 0 -4 -13 5 10 | 0 1 4 10 -1 -4 }}
| Pointless exotemperament
|-
| Meanundec
| 13-limit
| {{Mapping| 1 0 -4 -13 5 -1 | 0 1 4 10 -1 3 }}
| Pointless exotemperament
|-
| Meanplop
| 13-limit
| {{Mapping| 1 0 -4 -13 24 10 | 0 1 4 10 -13 -4 }}
| Low accuracy is not worth medium complexity; poor-tasted name
|-
| Oviminor
| 5- to 7-limit
| {{Mapping| 1 50 51 147 | 0 184 185 548 }}
| Pointless microtemperament: more complex than egads (which shares the same generator) at lower accuracy
|-
| Maqamschismic
| 2.3.5.11(.13)
| {{Mapping| 1 0 15 -33 -28 | 0 1 -8 23 20 }}
| Unenlightening restriction of cassandra to remove a lower-complexity, accurate prime
|-
| Quintapole
| 7- to 11-limit
| {{Mapping| 1 2 1 1 0 | 0 5 -16 -22 -42 }}
| Medium accuracy is not worth the high complexity; confusing name: could lead to confusion with similarly named "quintupole"
|-
| Quintapole > galeleic
| 13- to 19-limit
| {{Mapping| 1 2 1 1 0 -1 5 4 | 0 5 -16 -22 -42 -57 11 -3 }}
| Medium accuracy is not worth the high complexity; not even supported by any patent vals
|-
| Quintapole > catagali
| 13- to 19-limit
| {{Mapping| 1 2 1 1 0 0 5 4 | 0 5 -16 -22 -42 -45 11 -3 }}
| Medium accuracy is not worth the high complexity; not even supported by any patent vals
|-
| Quintapole > quintain
| 11- to 13-limit
| {{Mapping| 1 2 1 1 1 0 | 0 5 -16 -22 -30 -45 }}
| Medium accuracy is not worth the high complexity
|-
| Bixby
| 5-limit
| {{Mapping| 1 2 0 | 0 0 1 }}
| Extreme exotemperament: too coarse even for detempering
|-
| Archon
| 5-limit
| {{Mapping| 1 0 2 | 0 1 0 }}
| Extreme exotemperament: too coarse even for detempering
|-
| Seesaw
| 2.3.5(.11)
| {{Mapping| 1 0 1 2 | 0 1 1 1 }}
| Extreme exotemperament: too coarse even for detempering
|-
| Seesaw > heavy windmill
| 7- to 11-limit
| {{Mapping| 1 0 1 0 | 0 1 1 2 }}
| Extreme exotemperament: too coarse even for detempering
|-
| Seesaw > light windmill
| 7- to 11-limit
| {{Mapping| 1 0 1 3 | 0 1 1 0 }}
| Extreme exotemperament: too coarse even for detempering
|-
| Sixseven
| 2.3.7(.13)
| {{Mapping| 1 0 1 2 | 0 1 1 1 }}
| Extreme exotemperament: too coarse even for detempering
|-
| Sixseven > heaven
| 2.3.7.11(.13)
| {{Mapping| 1 0 1 0 2 | 0 1 1 2 1 }}
| Extreme exotemperament: too coarse even for detempering
|-
| Involution
| 5-limit
| {{Mapping| 1 0 5 | 0 1 -2 }}
| Extreme exotemperament: too coarse even for detempering
|-
| Devolution
| 3.5.7
| {{Mapping| 1 0 3 | 0 1 -1 }}
| Extreme exotemperament: too coarse even for detempering
|-
| Dog
| 2.3.19
| {{Mapping| 1 0 -2 | 0 1 4 }}
| Unenlightening restriction of armodue/armodog, lack of unique value
|-
| Sept a.k.a. mujannab
| 7- to 13-limit
| {{Mapping| 7 11 0 20 8 26 | 0 0 1 0 1 0 }}
| Pointless exotemperament: no reason to leave prime 5 free in 7et rather than prime 7; its former name was also confusable with ''mujannabic''
|-
| Counterorson
| 7-limit
| {{Mapping| 1 0 -21 85 | 0 7 103 -363 }}
| Pointless microtemperament: high badness at effectively unusable complexity
|-
| Quectismic > nanoquectismic
| 7-limit
| {{Mapping| 1 0 -554 109 | 0 1 351 -67 }}
| Pointless microtemperament: high badness at effectively unusable complexity
|-
| Quectismic > conanoquectismic
| 7-limit
| {{Mapping| 1 0 -554 -945 | 0 1 351 598 }}
| Pointless microtemperament: very high badness at effectively unusable complexity
|-
| White dwarf
| 2.3.7.11.101
| {{Mapping| 1 25 2 -3 131 | 0 29 -1 -8 154 }}
| Extension of [[chrysanthemum]] to an extremely esoteric subgroup with extremely high complexity for its extension
|-
| Neutron star
| 2.3.7.11.101
| {{Mapping| 2 26 42 59 39 | 0 32 51 73 36 }}
| Variant of [[semiosiris]] to an extremely esoteric subgroup
|-
| Countermiracle > counterrevelation
| 11- to 17-limit
| {{Mapping| 1 4 3 3 5 1 1 | 0 25 7 2 16 -28 -32 }}
| Medium accuracy is not worth the high complexity; obvious 11/9 candidate at 3 gens is not treated as such
|-
| Cohemiripple
| 7- to 13-limit
| {{Mapping| 1 7 11 12 17 14 | 0 10 16 17 25 19 }}
| Impractical complexity for its accuracy; 25 generators for prime 11 (despite one generator being 550{{C}}), while 24edo is about as accurate as possible
|-
| Tridecafifths
| 7- to 11-limit
| {{Mapping| 1 1 7 6 4 | 0 13 -104 -71 -12 }}
| Medium accuracy is not worth the high complexity
|-
| Octium
| 2.3.19(.23.29.31)
| {{Mapping| 8 2 35 25 47 2 | 0 21 -2 22 -16 74 }}
| Pointless microtemperament: very high badness at effectively unusable complexity
|-
| Tricesimoprimal miracloid
| 2.5.7(.11.19.29.31)
| {{Mapping| 1 419 48 177 157 624 625 | 0 461 50 192 169 685 686 }}
| Pointless microtemperament: very high badness at effectively unusable complexity; confusing name: ''tricesimoprimal'' may be interpreted as pertaining to the 31-limit
|-
| Gilead
| 7-limit
| {{Mapping| 1 4 5 6 | 0 9 10 12 }}
| Low accuracy is not worth the medium complexity
|-
| Paraguay > uruguay
| 13-limit
| {{Mapping| 1 5 6 7 4 5 | 0 13 14 16 2 5 }}
| Does not treat obvious low-complexity candidates for 13/5 and 13/3 as such; paraguay is already high badness in low limits
|-
| French decimal
| 2.5.7.11.13
| {{Mapping| 1 2 54 177 -52 | 0 1 -159 -539 173 }}
| Pointless microtemperament: very high badness at effectively unusable complexity; it is unusable even by 1789edo idiosynchratic French revolution lore standards, notably it doesn't even temper out the jacobin comma 6656/6655
|}


Subgroup: 2.3.5.11
[[Category:Xenharmonic Wiki guidelines]]
 
Comma list: 2200/2187, 4125/4096
 
Subgroup-val mapping: {{mapping| 1 0 15 -33 | 0 1 -8 23 }}
 
Optimal tunings:
* WE: ~2 = 1200.5458{{c}} ~3/2 = 702.4021{{c}}
* CWE: 2 = 1200.0000{{c}}, ~3/2 = 702.0906{{c}}
 
{{Optimal ET sequence|legend=0| 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: {{mapping| 1 0 15 -33 -28 | 0 1 -8 23 20 }}
 
Optimal tunings:
* WE: ~2 = 1200.4565{{c}} ~3/2 = 702.3057{{c}}
* CWE: 2 = 1200.0000{{c}}, ~3/2 = 702.0485{{c}}
 
{{Optimal ET sequence|legend=0| 12e, …, 41, 53, 94, 147e }}
 
Badness (Sintel): 0.862
 
== Quintapole ==
The ''quintapole'' temperament (12&amp;85) tempers out the marvel comma (225/224) and 7812500/7411887 (sepru-atritriyo). In the 11-limit, it tempers out the ptolemisma (100/99) as well as 85184/84035 (trilo-aquinru-agu). It is so named for the following reasons - it has the same commas as the [[Marvel family #Apollo|apollo temperament]], and its generator is a semitone five of which gives a flat fourth (~4/3, about 495 cents). [[User:Xenllium|Xenllium]] proposes the pronunciation of the word "quintapole" as /'kwɪntəpəʊl/ or /'kwɪntəpoʊl/, like as "quint-a-pole". ''Not to be confused with [[#Quintupole|quint<u>'''u'''</u>pole]] temperament (12&amp;121).''
 
Subgroup: 2.3.5.7
 
[[Comma list]]: 225/224, 7812500/7411887
 
[[Mapping]]: [{{val| 1 2 1 1 }}, {{val| 0 -5 16 22 }}]
 
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1198.959¢, ~21/20 = 98.908¢
* [[CWE]]: ~2 = 1200.000¢, ~21/20 = 98.968¢
 
{{Optimal ET sequence|legend=1| 12, 73c, 85, 97d }}
 
[[Badness]] (Sintel): 4.872
 
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 100/99, 225/224, 85184/84035
 
Mapping: [{{val| 1 2 1 1 0 }}, {{val| 0 -5 16 22 42 }}]
 
Optimal tunings:
* WE: ~2 = 1198.982¢, ~21/20 = 98.870¢
* CWE: ~2 = 1200.000¢, ~21/20 = 98.931¢
 
Optimal ET sequence: {{Optimal ET sequence| 12, 73ce, 85, 97d }}
 
Badness (Sintel): 3.450
 
==== Galileic ====
The name ''galileic'' comes from "{{w|Vincenzo Galilei}}", because this temperament is strongly related to [[Galilei's tuning]].
 
Subgroup: 2.3.5.7.11.13
 
Comma list: 100/99, 225/224, 275/273, 12168/12005
 
Mapping: [{{val| 1 2 1 1 0 -1 }}, {{val| 0 -5 16 22 42 57 }}]
 
Optimal tunings:
* WE: ~2 = 1198.912¢, ~21/20 = 98.902¢
* CWE: ~2 = 1200.000¢, ~21/20 = 98.970¢
 
Optimal ET sequence: {{Optimal ET sequence| 12f, 73ceff, 85f, 97d }}
 
Badness (Sintel): 3.231
 
===== 17-limit =====
Subgroup: 2.3.5.7.11.13.17
 
Comma list: 100/99, 120/119, 225/224, 275/273, 2431/2401
 
Mapping: [{{val| 1 2 1 1 0 -1 5 }}, {{val| 0 -5 16 22 42 57 -11 }}]
 
Optimal tunings:
* WE: ~2 = 1198.798¢, ~18/17 = 98.903¢
* CWE: ~2 = 1200.000¢, ~18/17 = 98.986¢
 
Optimal ET sequence: {{Optimal ET sequence| 12f, 73ceffg, 85fg, 97dg }}
 
Badness (Sintel): 2.997
 
===== 19-limit =====
Subgroup: 2.3.5.7.11.13.17.19
 
Comma list: 100/99, 120/119, 225/224, 247/245, 275/273, 361/357
 
Mapping: [{{val| 1 2 1 1 0 -1 5 4 }}, {{val| 0 -5 16 22 42 57 -11 3 }}]
 
Optimal tunings:
* WE: ~2 = 1199.031¢, ~18/17 = 98.907¢
* CWE: ~2 = 1200.000¢, ~18/17 = 98.976¢
 
Optimal ET sequence: {{Optimal ET sequence| 12f, 73ceffg, 85fg, 97dg }}
 
Badness (Sintel): 2.765
 
==== Catagali ====
Subgroup: 2.3.5.7.11.13
 
Comma list: 100/99, 225/224, 847/845, 1040/1029
 
Mapping: [{{val| 1 2 1 1 0 0 }}, {{val| 0 -5 16 22 42 45 }}]
 
Optimal tunings:
* WE: ~2 = 1199.021¢, ~21/20 = 98.801¢
* CWE: ~2 = 1200.000¢, ~21/20 = 98.860¢
 
Optimal ET sequence: {{Optimal ET sequence| 12f, 73ce, 85 }}
 
Badness (Sintel): 3.065
 
===== 17-limit =====
Subgroup: 2.3.5.7.11.13.17
 
Comma list: 100/99, 120/119, 225/224, 442/441, 847/845
 
Mapping: [{{val| 1 2 1 1 0 0 5 }}, {{val| 0 -5 16 22 42 45 -11 }}]
 
Optimal tunings:
* WE: ~2 = 1198.792¢, ~18/17 = 98.805¢
* CWE: ~2 = 1200.000¢, ~18/17 = 98.887¢
 
Optimal ET sequence: {{Optimal ET sequence| 12f, 73ceg, 85g }}
 
Badness (Sintel): 2.951
 
===== 19-limit =====
Subgroup: 2.3.5.7.11.13.17.19
 
Comma list: 100/99, 120/119, 209/208, 225/224, 361/357, 442/441
 
Mapping: [{{val| 1 2 1 1 0 0 5 4 }}, {{val| 0 -5 16 22 42 45 -11 3 }}]
 
Optimal tunings:
* WE: ~2 = 1199.037¢, ~18/17 = 98.808¢
* CWE: ~2 = 1200.000¢, ~18/17 = 98.875¢
 
Optimal ET sequence: {{Optimal ET sequence| 12f, 73ceg, 85g }}
 
Badness (Sintel): 2.720
 
=== Quintain ===
Subgroup: 2.3.5.7.11
 
Comma list: 225/224, 245/242, 5000/4851
 
Mapping: [{{val| 1 2 1 1 1 }}, {{val| 0 -5 16 22 30 }}]
 
Optimal tunings:
* WE: ~2 = 1198.804¢, ~21/20 = 98.718¢
* CWE: ~2 = 1200.000¢, ~21/20 = 98.784¢
 
Optimal ET sequence: {{Optimal ET sequence| 12, 61c, 73c, 85e }}
 
Badness (Sintel): 3.730
 
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
 
Comma list: 225/224, 245/242, 275/273, 1040/1029
 
Mapping: [{{val| 1 2 1 1 1 0 }}, {{val| 0 -5 16 22 30 45 }}]
 
Optimal tunings:
* WE: ~2 = 1198.830¢, ~21/20 = 98.700¢
* CWE: ~2 = 1200.000¢, ~21/20 = 98.768¢
 
Optimal ET sequence: {{Optimal ET sequence| 12f, 61cf, 73c, 85e }}
 
Badness (Sintel): 3.302
 
== Bixby ==
{{Main| Bixby }}
 
[[Subgroup]]: 2.3.5
 
[[Comma list]]: [[4/3]]
 
{{Mapping|legend=1| 1 2 0 | 0 0 1 }}
 
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1020.058{{c}}, ~5/4 = 674.394{{c}}
: [[error map]]: {{val| -179.942 +138.161 -71.803 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~5/4 = 629.521{{c}}
: error map: {{val| 0.000 +498.045 +243.208 }}
 
{{Optimal ET sequence|legend=1| 1c, 2b, 3bbcc }}
 
[[Badness]] (Sintel): 0.424
 
== Archon ==
{{Main| Archon }}
 
[[Subgroup]]: 2.3.5
 
[[Comma list]]: [[5/4]]
 
{{Mapping|legend=1| 1 0 2 | 0 1 0 }}
 
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1268.274{{c}}, ~3/2 = 612.921{{c}}
: [[error map]]: {{val| +68.274 -20.760 -249.765 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 614.055{{c}}
: error map: {{val| 0.000 -87.900 -386.314 }}
 
{{Optimal ET sequence|legend=1| 2c }}
 
[[Badness]] (Sintel): 0.474
 
== Seesaw ==
{{Main| Seesaw }}
Seesaw tempers out the [[6/5|classic minor third (6/5)]], equating the [[5/1|fifth]] and [[6/1|sixth harmonic]]s. It was named by [[User:Xenllium|Xenllium]] in 2026.
 
[[Subgroup]]: 2.3.5
 
[[Comma list]]: 6/5
 
{{Mapping|legend=1| 1 0 1 | 0 1 1 }}
 
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1155.569{{c}}, ~3/2 = 643.349{{c}}
: [[error map]]: {{val| -44.431 -103.037 +168.173 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 627.511{{c}}
: error map: {{val| 0.000 -74.444 +241.197 }}
 
{{Optimal ET sequence|legend=1| 2 }}
 
[[Badness]] (Sintel): 0.367
 
=== 2.3.5.11 subgroup ===
This temperament is extended to the 2.3.5.11 subgroup naturally, tempering out both [[11/10]] and [[12/11]], undecimal neutral seconds.
 
Subgroup: 2.3.5.11
 
Comma list: 6/5, 11/10
 
Mapping: {{mapping| 1 0 1 2 | 0 1 1 1 }}
 
Optimal tunings:
* WE: ~2 = 1156.418{{c}}, ~3/2 = 643.202{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 627.023{{c}}
 
{{Optimal ET sequence|legend=0| 2 }}
 
Badness (Sintel): 0.499
 
=== Heavy windmill ===
Heavy windmill tempers out [[9/7]] and [[15/14]] in the 7-limit.
 
Subgroup: 2.3.5.7
 
Comma list: 6/5, 9/7
 
Mapping: {{mapping| 1 0 1 0 | 0 1 1 2 }}
 
Optimal tunings:
* WE: ~2 = 1161.600{{c}}, ~3/2 = 571.169{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 559.563{{c}}
 
{{Optimal ET sequence|legend=0| 2 }}
 
Badness (Sintel): 0.676
 
==== 11-limit ====
Subgroup: 2.3.5.7.11
 
Comma list: 6/5, 9/7, 11/10
 
Mapping: {{mapping| 1 0 1 0 2 | 0 1 1 2 1 }}
 
Optimal tunings:
* WE: ~2 = 1166.584{{c}}, ~3/2 = 568.073{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 558.941{{c}}
 
{{Optimal ET sequence|legend=0| 2 }}
 
Badness (Sintel): 0.774
 
=== Light windmill ===
Light windmill tempers out [[8/7]] and [[21/20]] in the 7-limit.
 
Subgroup: 2.3.5.7
 
Comma list: 6/5, 8/7
 
Mapping: {{mapping| 1 0 1 3 | 0 1 1 0 }}
 
Optimal tunings:
* WE: ~2 = 1134.018{{c}}, ~3/2 = 670.285{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 667.893{{c}}
 
{{Optimal ET sequence|legend=0| 2 }}
 
Badness (Sintel): 0.629
 
==== 11-limit ====
Subgroup: 2.3.5.7.11
 
Comma list: 6/5, 8/7, 11/10
 
Mapping: {{mapping| 1 0 1 3 2 | 0 1 1 0 1 }}
 
Optimal tunings:
* WE: ~2 = 1136.109{{c}}, ~3/2 = 672.403{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 668.374{{c}}
 
{{Optimal ET sequence|legend=0| 2 }}
 
Badness (Sintel): 0.681
 
== Sixseven ==
Sixseven tempers out the [[7/6|septimal minor third (7/6)]], equating the [[6/1|sixth]] and [[7/1|seventh harmonic]]s. It was named by [[User:Xenllium|Xenllium]] in 2026.
 
[[Subgroup]]: 2.3.7
 
[[Comma list]]: 7/6
 
{{Mapping|legend=1| 1 0 1 | 0 1 1 }}
 
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1218.135{{c}}, ~3/2 = 734.187{{c}}
: [[error map]]: {{val| +18.135 +50.367 -198.368 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 738.927{{c}}
: error map: {{val| 0.000 +36.972 -229.899 }}
 
{{Optimal ET sequence|legend=1| 1, 2d, 3, 5dd }}
 
[[Badness]] (Sintel): 0.329
 
=== 2.3.7.13 subgroup ===
This temperament is extended to the 2.3.7.13 subgroup naturally, tempering out both [[13/12]] and [[14/13]], tridecimal neutral seconds.
 
Subgroup: 2.3.7.13
 
Comma list: 7/6, 13/12
 
Mapping: {{mapping| 1 0 1 2 | 0 1 1 1 }}
 
Optimal tunings:
* WE: ~2 = 1220.937{{c}}, ~3/2 = 734.003{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 739.780{{c}}
 
{{Optimal ET sequence|legend=0| 1, 2d, 3, 5ddf }}
 
Badness (Sintel): 0.422
 
=== Heaven ===
Heaven tempers out [[11/9]] and [[22/21]] in the 2.3.7.11 subgroup.
 
Subgroup: 2.3.7.11
 
Comma list: 7/6, 11/9
 
Mapping: {{mapping| 1 0 1 0 | 0 1 1 2 }}
 
Optimal tunings:
* WE: ~2 = 1210.810{{c}}, ~3/2 = 783.079{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 785.173{{c}}
 
{{Optimal ET sequence|legend=0| 1e, 2de, 3 }}
 
Badness (Sintel): 0.577
 
==== 2.3.7.11.13 subgroup ====
Subgroup: 2.3.7.11.13
 
Comma list: 7/6, 11/9, 13/12
 
Mapping: {{mapping| 1 0 1 0 2 | 0 1 1 2 1 }}
 
Optimal tunings:
* WE: ~2 = 1210.595{{c}}, ~3/2 = 783.176{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 784.989{{c}}
 
{{Optimal ET sequence|legend=0| 1e, 2de, 3 }}
 
Badness (Sintel): 0.627
 
== Sept ==
{{See also|Whitewood family}}Sept preserves the 2.3.7-subgroup of mapping of 7edo, and harmonic 5 is mapped to an independent generator. As harmonic 5 is way more accurately approximated than 7 by 7edo, this temperament provides little improvement to 7edo's 7-limit tuning, so in what way this temperament is useful remains unexplained. It would make much more sense to, for example, preserve the 5-limit structure of 7edo and give prime 7 an independent generator instead, which is exactly what [[jamesbond]] does.
 
This temperament used to be known as ''mujannab''.
 
[[Subgroup]]: 2.3.5.7
 
[[Comma list]]: 54/49, 64/63
 
{{Mapping|7 11 0 20|0 0 1 0|legend=1}}
 
[[Optimal tuning|Optimal tunings]]:
 
* [[WE]]: ~9/8 = 170.823{{c}}, ~5/4 = 393.792{{c}} (~15/14 = 52.145{{c}})
 
: [[error map]]: {{val|-4.236 -22.898 -0.994 +47.642}}
 
* [[CWE]]: ~9/8 = 171.429{{c}}, ~5/4 = 392.719{{c}} (~15/14 = 49.862{{c}})
 
: error map: {{val|0.000 -16.241 +6.406 +59.746}}
 
{{Optimal ET sequence|7, 14d|legend=1}}
 
[[Badness]] (Sintel): 2.68
 
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 45/44, 54/49, 64/63
 
Mapping: {{mapping|7 11 0 20 8|0 0 1 0 1}}
 
Optimal tunings:
 
* WE: ~11/10 = 170.817{{c}}, ~5/4 = 393.252{{c}} (~33/32 = 51.619{{c}})
* CWE: ~11/10 = 171.429{{c}}, ~5/4 = 391.840{{c}} (~33/32 = 48.983{{c}})
 
{{Optimal ET sequence|7, 14de|legend=0}}
 
Badness (Sintel): 2.02
 
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
 
Comma list: 27/26, 45/44, 52/49, 64/63
 
Mapping: {{mapping|7 11 0 20 8 26|0 0 1 0 1 0}}
 
Optimal tunings:
 
* WE: ~11/10 = 170.795{{c}}, ~5/4 = 393.611{{c}} (~33/32 = 52.021{{c}})
* CWE: ~11/10 = 171.429{{c}}, ~5/4 = 392.725{{c}} (~33/32 = 49.868{{c}})
 
{{Optimal ET sequence|7, 14de|legend=0}}
 
Badness (Sintel): 1.77
[[Category:Temperament collections]]

Latest revision as of 16:47, 16 August 2026

This page collects deleted entries of regular temperaments from the Xenharmonic Wiki due to not meeting our notability guidelines, although other materials may still reference them. We recommend to refer to these temperaments with an ET join (e. g. "11-limit 12 & 85") or as a restriction of a different temperament (e. g. "no-7's cassandra").

Name Subgroup Mapping Reason for deletion
Meanundeci 11- to 13-limit [1 0 -4 -13 5 10], 0 1 4 10 -1 -4]] Pointless exotemperament
Meanundec 13-limit [1 0 -4 -13 5 -1], 0 1 4 10 -1 3]] Pointless exotemperament
Meanplop 13-limit [1 0 -4 -13 24 10], 0 1 4 10 -13 -4]] Low accuracy is not worth medium complexity; poor-tasted name
Oviminor 5- to 7-limit [1 50 51 147], 0 184 185 548]] Pointless microtemperament: more complex than egads (which shares the same generator) at lower accuracy
Maqamschismic 2.3.5.11(.13) [1 0 15 -33 -28], 0 1 -8 23 20]] Unenlightening restriction of cassandra to remove a lower-complexity, accurate prime
Quintapole 7- to 11-limit [1 2 1 1 0], 0 5 -16 -22 -42]] Medium accuracy is not worth the high complexity; confusing name: could lead to confusion with similarly named "quintupole"
Quintapole > galeleic 13- to 19-limit [1 2 1 1 0 -1 5 4], 0 5 -16 -22 -42 -57 11 -3]] Medium accuracy is not worth the high complexity; not even supported by any patent vals
Quintapole > catagali 13- to 19-limit [1 2 1 1 0 0 5 4], 0 5 -16 -22 -42 -45 11 -3]] Medium accuracy is not worth the high complexity; not even supported by any patent vals
Quintapole > quintain 11- to 13-limit [1 2 1 1 1 0], 0 5 -16 -22 -30 -45]] Medium accuracy is not worth the high complexity
Bixby 5-limit [1 2 0], 0 0 1]] Extreme exotemperament: too coarse even for detempering
Archon 5-limit [1 0 2], 0 1 0]] Extreme exotemperament: too coarse even for detempering
Seesaw 2.3.5(.11) [1 0 1 2], 0 1 1 1]] Extreme exotemperament: too coarse even for detempering
Seesaw > heavy windmill 7- to 11-limit [1 0 1 0], 0 1 1 2]] Extreme exotemperament: too coarse even for detempering
Seesaw > light windmill 7- to 11-limit [1 0 1 3], 0 1 1 0]] Extreme exotemperament: too coarse even for detempering
Sixseven 2.3.7(.13) [1 0 1 2], 0 1 1 1]] Extreme exotemperament: too coarse even for detempering
Sixseven > heaven 2.3.7.11(.13) [1 0 1 0 2], 0 1 1 2 1]] Extreme exotemperament: too coarse even for detempering
Involution 5-limit [1 0 5], 0 1 -2]] Extreme exotemperament: too coarse even for detempering
Devolution 3.5.7 [1 0 3], 0 1 -1]] Extreme exotemperament: too coarse even for detempering
Dog 2.3.19 [1 0 -2], 0 1 4]] Unenlightening restriction of armodue/armodog, lack of unique value
Sept a.k.a. mujannab 7- to 13-limit [7 11 0 20 8 26], 0 0 1 0 1 0]] Pointless exotemperament: no reason to leave prime 5 free in 7et rather than prime 7; its former name was also confusable with mujannabic
Counterorson 7-limit [1 0 -21 85], 0 7 103 -363]] Pointless microtemperament: high badness at effectively unusable complexity
Quectismic > nanoquectismic 7-limit [1 0 -554 109], 0 1 351 -67]] Pointless microtemperament: high badness at effectively unusable complexity
Quectismic > conanoquectismic 7-limit [1 0 -554 -945], 0 1 351 598]] Pointless microtemperament: very high badness at effectively unusable complexity
White dwarf 2.3.7.11.101 [1 25 2 -3 131], 0 29 -1 -8 154]] Extension of chrysanthemum to an extremely esoteric subgroup with extremely high complexity for its extension
Neutron star 2.3.7.11.101 [2 26 42 59 39], 0 32 51 73 36]] Variant of semiosiris to an extremely esoteric subgroup
Countermiracle > counterrevelation 11- to 17-limit [1 4 3 3 5 1 1], 0 25 7 2 16 -28 -32]] Medium accuracy is not worth the high complexity; obvious 11/9 candidate at 3 gens is not treated as such
Cohemiripple 7- to 13-limit [1 7 11 12 17 14], 0 10 16 17 25 19]] Impractical complexity for its accuracy; 25 generators for prime 11 (despite one generator being 550 ¢), while 24edo is about as accurate as possible
Tridecafifths 7- to 11-limit [1 1 7 6 4], 0 13 -104 -71 -12]] Medium accuracy is not worth the high complexity
Octium 2.3.19(.23.29.31) [8 2 35 25 47 2], 0 21 -2 22 -16 74]] Pointless microtemperament: very high badness at effectively unusable complexity
Tricesimoprimal miracloid 2.5.7(.11.19.29.31) [1 419 48 177 157 624 625], 0 461 50 192 169 685 686]] Pointless microtemperament: very high badness at effectively unusable complexity; confusing name: tricesimoprimal may be interpreted as pertaining to the 31-limit
Gilead 7-limit [1 4 5 6], 0 9 10 12]] Low accuracy is not worth the medium complexity
Paraguay > uruguay 13-limit [1 5 6 7 4 5], 0 13 14 16 2 5]] Does not treat obvious low-complexity candidates for 13/5 and 13/3 as such; paraguay is already high badness in low limits
French decimal 2.5.7.11.13 [1 2 54 177 -52], 0 1 -159 -539 173]] Pointless microtemperament: very high badness at effectively unusable complexity; it is unusable even by 1789edo idiosynchratic French revolution lore standards, notably it doesn't even temper out the jacobin comma 6656/6655