Xenharmonic Wiki:Deleted temperament entries: Difference between revisions
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| Line 7: | Line 7: | ||
! Mapping | ! Mapping | ||
! Reason for deletion | ! Reason for deletion | ||
|- | |||
| Archon | |||
| 5-limit | |||
| {{Mapping| 1 0 2 | 0 1 0 }} | |||
| Extreme exotemperament: too coarse even for detempering | |||
|- | |||
| Bixby | |||
| 5-limit | |||
| {{Mapping| 1 2 0 | 0 0 1 }} | |||
| Extreme exotemperament: too coarse even for detempering | |||
|- | |||
| 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 | |||
|- | |||
| 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 | |||
|- | |||
| Counterorson | |||
| 7-limit | |||
| {{Mapping| 1 0 -21 85 | 0 7 103 -363 }} | |||
| Pointless microtemperament: high badness at effectively unusable complexity | |||
|- | |||
| 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 | |||
|- | |||
| French decimal | |||
| 2.5.7(.11.13) | |||
| {{Mapping| 1 0 372 1255 -398 | 0 1 -159 -539 173 }} | |||
| Pointless microtemperament: very high badness at effectively unusable complexity | |||
|- | |||
| Gilead | |||
| 7-limit | |||
| {{Mapping| 1 4 5 6 | 0 9 10 12 }} | |||
| Low accuracy is not worth the medium complexity | |||
|- | |||
| Involution | |||
| 5-limit | |||
| {{Mapping| 1 0 5 | 0 1 -2 }} | |||
| Extreme exotemperament: too coarse even for detempering | |||
|- | |||
| Leaves | |||
| 7- to 17-limit | |||
| {{Mapping| 17 10 31 9 106 98 107 | 0 14 7 32 -39 -29 -31 }} | |||
| Pointless microtemperament: high badness at effectively unusable complexity | |||
|- | |||
| 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 | |||
|- | |||
| 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 | |||
|- | |- | ||
| Meanundeci | | Meanundeci | ||
| Line 13: | Line 78: | ||
| Pointless exotemperament | | Pointless exotemperament | ||
|- | |- | ||
| | | Meanundeci → meanundec | ||
| 13-limit | | 13-limit | ||
| {{Mapping| 1 0 -4 -13 5 -1 | 0 1 4 10 -1 3 }} | | {{Mapping| 1 0 -4 -13 5 -1 | 0 1 4 10 -1 3 }} | ||
| Pointless exotemperament | | Pointless exotemperament | ||
|- | |- | ||
| | | Neutron star | ||
| | | 2.3.7.11.101 | ||
| {{Mapping| | | {{Mapping| 2 26 42 59 39 | 0 32 51 73 36 }} | ||
| | | Variant of [[semiosiris]] to an extremely esoteric subgroup | ||
|- | |||
| 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 | |||
|- | |- | ||
| Oviminor | | Oviminor | ||
| Line 28: | Line 98: | ||
| Pointless microtemperament: more complex than egads (which shares the same generator) at lower accuracy | | Pointless microtemperament: more complex than egads (which shares the same generator) at lower accuracy | ||
|- | |- | ||
| | | Paraguay → uruguay | ||
| 2 | | 13-limit | ||
| {{Mapping| 1 0 | | {{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 | ||
|- | |||
| 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 | |||
|- | |- | ||
| Quintapole | | Quintapole | ||
| Line 38: | Line 118: | ||
| Medium accuracy is not worth the high complexity; confusing name: could lead to confusion with similarly named "quintupole" | | Medium accuracy is not worth the high complexity; confusing name: could lead to confusion with similarly named "quintupole" | ||
|- | |- | ||
| Quintapole | | Quintapole → galeleic | ||
| 13- to 19-limit | | 13- to 19-limit | ||
| {{Mapping| 1 2 1 1 0 -1 5 4 | 0 5 -16 -22 -42 -57 11 -3 }} | | {{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 | | Medium accuracy is not worth the high complexity; not even supported by any patent vals | ||
|- | |- | ||
| Quintapole | | Quintapole → catagali | ||
| 13- to 19-limit | | 13- to 19-limit | ||
| {{Mapping| 1 2 1 1 0 0 5 4 | 0 5 -16 -22 -42 -45 11 -3 }} | | {{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 | | Medium accuracy is not worth the high complexity; not even supported by any patent vals | ||
|- | |- | ||
| Quintapole | | Quintapole → quintain | ||
| 11- to 13-limit | | 11- to 13-limit | ||
| {{Mapping| 1 2 1 1 1 0 | 0 5 -16 -22 -30 -45 }} | | {{Mapping| 1 2 1 1 1 0 | 0 5 -16 -22 -30 -45 }} | ||
| Medium accuracy is not worth the high complexity | | Medium accuracy is not worth the high complexity | ||
|- | |- | ||
| Seesaw | | Seesaw | ||
| Line 68: | Line 138: | ||
| Extreme exotemperament: too coarse even for detempering | | Extreme exotemperament: too coarse even for detempering | ||
|- | |- | ||
| Seesaw | | Seesaw → heavy windmill | ||
| 7- to 11-limit | | 7- to 11-limit | ||
| {{Mapping| 1 0 1 0 | 0 1 1 2 }} | | {{Mapping| 1 0 1 0 | 0 1 1 2 }} | ||
| Extreme exotemperament: too coarse even for detempering | | Extreme exotemperament: too coarse even for detempering | ||
|- | |- | ||
| Seesaw | | Seesaw → light windmill | ||
| 7- to 11-limit | | 7- to 11-limit | ||
| {{Mapping| 1 0 1 3 | 0 1 1 0 }} | | {{Mapping| 1 0 1 3 | 0 1 1 0 }} | ||
| Extreme exotemperament: too coarse even for detempering | | Extreme exotemperament: too coarse even for detempering | ||
|- | |||
| 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'' | |||
|- | |- | ||
| Sixseven | | Sixseven | ||
| Line 83: | Line 158: | ||
| Extreme exotemperament: too coarse even for detempering | | Extreme exotemperament: too coarse even for detempering | ||
|- | |- | ||
| Sixseven | | Sixseven → heaven | ||
| 2.3.7.11(.13) | | 2.3.7.11(.13) | ||
| {{Mapping| 1 0 1 0 2 | 0 1 1 2 1 }} | | {{Mapping| 1 0 1 0 2 | 0 1 1 2 1 }} | ||
| Extreme exotemperament: too coarse even for detempering | | Extreme exotemperament: too coarse even for detempering | ||
|- | |- | ||
| | | Tricesimoprimal miracloid | ||
| 5 | | 2.5.7(.11.19.29.31) | ||
| {{Mapping| 1 | | {{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 | ||
|- | |- | ||
| | | Tridecafifths | ||
| 7- to 11-limit | |||
| {{Mapping| 1 1 7 6 4 | 0 13 -104 -71 -12 }} | |||
| Medium accuracy is not worth the high complexity | |||
| 7- to | |||
| {{Mapping| | |||
| | |||
|- | |- | ||
| White dwarf | | White dwarf | ||
| Line 127: | Line 177: | ||
| {{Mapping| 1 25 2 -3 131 | 0 29 -1 -8 154 }} | | {{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 | | Extension of [[chrysanthemum]] to an extremely esoteric subgroup with extremely high complexity for its extension | ||
|} | |} | ||
[[Category:Xenharmonic Wiki guidelines]] | [[Category:Xenharmonic Wiki guidelines]] | ||
Latest revision as of 07:25, 7 September 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 |
|---|---|---|---|
| Archon | 5-limit | [⟨1 0 2], ⟨0 1 0]] | Extreme exotemperament: too coarse even for detempering |
| Bixby | 5-limit | [⟨1 2 0], ⟨0 0 1]] | Extreme exotemperament: too coarse even for detempering |
| 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 |
| 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 |
| Counterorson | 7-limit | [⟨1 0 -21 85], ⟨0 7 103 -363]] | Pointless microtemperament: high badness at effectively unusable complexity |
| 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 |
| French decimal | 2.5.7(.11.13) | [⟨1 0 372 1255 -398], ⟨0 1 -159 -539 173]] | Pointless microtemperament: very high badness at effectively unusable complexity |
| Gilead | 7-limit | [⟨1 4 5 6], ⟨0 9 10 12]] | Low accuracy is not worth the medium complexity |
| Involution | 5-limit | [⟨1 0 5], ⟨0 1 -2]] | Extreme exotemperament: too coarse even for detempering |
| Leaves | 7- to 17-limit | [⟨17 10 31 9 106 98 107], ⟨0 14 7 32 -39 -29 -31]] | Pointless microtemperament: high badness at effectively unusable complexity |
| 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 |
| 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 |
| Meanundeci | 11- to 13-limit | [⟨1 0 -4 -13 5 10], ⟨0 1 4 10 -1 -4]] | Pointless exotemperament |
| Meanundeci → meanundec | 13-limit | [⟨1 0 -4 -13 5 -1], ⟨0 1 4 10 -1 3]] | Pointless exotemperament |
| 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 |
| 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 |
| 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 |
| 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 |
| 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 |
| 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 |
| 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 |
| 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 |
| 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 |
| 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 |
| Tridecafifths | 7- to 11-limit | [⟨1 1 7 6 4], ⟨0 13 -104 -71 -12]] | Medium accuracy is not worth the high 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 |