Moctdelismic clan: Difference between revisions

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The '''moctdelismic clan''' of [[rank-3 ~~temperament|rank-3]] [[regular temperament|~~temperament]]s [[tempering out|tempers out]] the ~~moctdel comma~~, [[1375/1372]], the amount by which a stack of three [[7/5]]'s falls short of [[11/4]], one octave above [[11/8]].

The '''moctdelismic clan''' of [[rank-3 temperament]]s [[tempering out|tempers out]] the moctdelisma, [[1375/1372]], the amount by which a stack of three [[7/5]]'s falls short of [[11/4]], one octave above [[11/8]].

== Moctdelic ==

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* ''[[Prodigy]]'' (+225/224 or 441/440) → [[Marvel family #Prodigy|Marvel family]]

* ''[[Agni]]'' (+385/384 or 2401/2400) → [[Breed family #Agni|Breed family]]

* ''[[Indra]]'' (+540/539) → [[~~Mirkwai family~~ #~~Prodigy~~|~~Mirkwai family~~]]

* ''[[Indra]]'' (+540/539) → [[Swetismic temperaments #Indra|Swetismic temperaments]]

* ''[[Moctpine]]'' (+4000/3993) → [[Wizardharry clan #Moctpine|Wizardharry clan]]

* ''[[Dimcomp]]'' (+6250/6237 or 9801/9800) → [[Dimcomp family #Undecimal dimcomp|Dimcomp family]]

Considered below are mendel~~, moctpine,~~ and compass, besides the no-3 subgroup temperament.

Considered below are mendel and compass, besides the no-3 subgroup temperament.

== Mendel ==

: ''For the 7-limit version of this temperament, see [[Miscellaneous 7-limit temperaments #Metric]].''

~~Mendel~~ tempers out the vishdel comma, [[5632/5625]], as well as [[meter]] (703125/702464). It can be extended to the 13-limit by adding [[352/351]] or [[625/624]] to the comma basis.

Named by [[Xenllium]] in 2026, mendel tempers out the vishdel comma, [[5632/5625]], as well as [[meter]] (703125/702464). It can be extended to the 13-limit by adding [[352/351]] or [[625/624]] to the comma basis.

[[Subgroup]]: 2.3.5.7.11

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Badness (Sintel): 1.34

~~== Moctpine ==~~

~~[[Subgroup]]: 2.3.5.7.11~~

~~[[Comma list]]: 1375/1372, 4000/3993~~

~~{{Mapping|legend=1| 1 2 1 1 2 | 0 -3 -1 -1 0 | 0 0 3 4 3 }}~~

~~: Mapping generators: ~2, ~11/10, ~7/5~~

~~[[Optimal tuning]]s:~~

* [[WE]]: ~2 = 1199.9745{{c}}, ~11/10 = 165.9846{{c}}, ~7/5 = 583.8721{{c}}

~~: [[error map]]: {{val| -0.025 +0.040 -0.707 +0.652 +0.247 }}~~

* [[CWE]]: ~2 = 1200.0000{{c}}, ~11/10 = 165.9939{{c}}, ~7/5 = 583.8766{{c}}

~~: error map: {{val| 0.000 +0.063 -0.678 +0.686 +0.312 }}~~

~~{{Optimal ET sequence|legend=1| 29, 37, 43, 72, 152, 224, 629, 781, 853c }}~~

~~[[Badness]] (Sintel): 1.28~~

== Compass ==

: ''For the 7-limit version of this temperament, see [[Miscellaneous 7-limit temperaments #Compass]].''

Named by [[Xenllium]] in 2021, compass tempers out [[4375/4356]].

[[Subgroup]]: 2.3.5.7.11

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 {{Technical data page}}
-The '''moctdelismic clan''' of [[rank-3 temperament|rank-3]] [[regular temperament|temperament]]s [[tempering out|tempers out]] the moctdel comma, [[1375/1372]], the amount by which a stack of three [[7/5]]'s falls short of [[11/4]], one octave above [[11/8]].
+The '''moctdelismic clan''' of [[rank-3 temperament]]s [[tempering out|tempers out]] the moctdelisma, [[1375/1372]], the amount by which a stack of three [[7/5]]'s falls short of [[11/4]], one octave above [[11/8]].
 == Moctdelic ==
@@ Line 26: / Line 26: @@
 * ''[[Prodigy]]'' (+225/224 or 441/440) → [[Marvel family #Prodigy|Marvel family]]
 * ''[[Agni]]'' (+385/384 or 2401/2400) → [[Breed family #Agni|Breed family]]
-* ''[[Indra]]'' (+540/539) → [[Mirkwai family #Prodigy|Mirkwai family]]
+* ''[[Indra]]'' (+540/539) → [[Swetismic temperaments #Indra|Swetismic temperaments]]
+* ''[[Moctpine]]'' (+4000/3993) → [[Wizardharry clan #Moctpine|Wizardharry clan]]
 * ''[[Dimcomp]]'' (+6250/6237 or 9801/9800) → [[Dimcomp family #Undecimal dimcomp|Dimcomp family]]
-Considered below are mendel, moctpine, and compass, besides the no-3 subgroup temperament.
+Considered below are mendel and compass, besides the no-3 subgroup temperament.
 == Mendel ==
 : ''For the 7-limit version of this temperament, see [[Miscellaneous 7-limit temperaments #Metric]].''
-Mendel tempers out the vishdel comma, [[5632/5625]], as well as [[meter]] (703125/702464). It can be extended to the 13-limit by adding [[352/351]] or [[625/624]] to the comma basis.
+Named by [[Xenllium]] in 2026, mendel tempers out the vishdel comma, [[5632/5625]], as well as [[meter]] (703125/702464). It can be extended to the 13-limit by adding [[352/351]] or [[625/624]] to the comma basis.
 [[Subgroup]]: 2.3.5.7.11
@@ Line 67: / Line 68: @@
 Badness (Sintel): 1.34
-== Moctpine ==
-[[Subgroup]]: 2.3.5.7.11
-[[Comma list]]: 1375/1372, 4000/3993
-{{Mapping|legend=1| 1 2 1 1 2 | 0 -3 -1 -1 0 | 0 0 3 4 3 }}
-: Mapping generators: ~2, ~11/10, ~7/5
-[[Optimal tuning]]s:
-* [[WE]]: ~2 = 1199.9745{{c}}, ~11/10 = 165.9846{{c}}, ~7/5 = 583.8721{{c}}
-: [[error map]]: {{val| -0.025 +0.040 -0.707 +0.652 +0.247 }}
-* [[CWE]]: ~2 = 1200.0000{{c}}, ~11/10 = 165.9939{{c}}, ~7/5 = 583.8766{{c}}
-: error map: {{val| 0.000 +0.063 -0.678 +0.686 +0.312 }}
-{{Optimal ET sequence|legend=1| 29, 37, 43, 72, 152, 224, 629, 781, 853c }}
-[[Badness]] (Sintel): 1.28
 == Compass ==
 : ''For the 7-limit version of this temperament, see [[Miscellaneous 7-limit temperaments #Compass]].''
+Named by [[Xenllium]] in 2021, compass tempers out [[4375/4356]].
 [[Subgroup]]: 2.3.5.7.11