Moctdelismic clan - Revision history

FloraC: Text replacement - "rank-3 temperament" to "rank-3 temperament"

2026-06-08T08:36:20Z

Text replacement - "rank-3 temperament" to "rank-3 temperament"

← Older revision		Revision as of 08:36, 8 June 2026
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	{{Technical data page}}		{{Technical data page}}
	The '''moctdelismic clan''' of [[rank-3 ~~temperament\|rank-3]] [[regular temperament\|~~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]].		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 ==		== Moctdelic ==

FloraC: Update

2026-06-06T12:14:41Z

Update

← Older revision		Revision as of 12:14, 6 June 2026
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	{{Technical data page}}		{{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\|rank-3]] [[regular temperament\|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 ==		== Moctdelic ==
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	* ''[[Prodigy]]'' (+225/224 or 441/440) → [[Marvel family #Prodigy\|Marvel family]]		* ''[[Prodigy]]'' (+225/224 or 441/440) → [[Marvel family #Prodigy\|Marvel family]]
	* ''[[Agni]]'' (+385/384 or 2401/2400) → [[Breed family #Agni\|Breed family]]		* ''[[Agni]]'' (+385/384 or 2401/2400) → [[Breed family #Agni\|Breed family]]
	* ''[[Indra]]'' (+540/539) → [[~~Mirkwai family~~ #Indra\|~~Mirkwai family~~]]		* ''[[Indra]]'' (+540/539) → [[Swetismic temperaments #Indra\|Swetismic temperaments]]
	* ''[[Moctpine]]'' (+4000/3993) → [[Wizardharry clan #Moctpine\|Wizardharry clan]]		* ''[[Moctpine]]'' (+4000/3993) → [[Wizardharry clan #Moctpine\|Wizardharry clan]]
	* ''[[Dimcomp]]'' (+6250/6237 or 9801/9800) → [[Dimcomp family #Undecimal dimcomp\|Dimcomp family]]		* ''[[Dimcomp]]'' (+6250/6237 or 9801/9800) → [[Dimcomp family #Undecimal dimcomp\|Dimcomp family]]

Xenllium at 15:35, 31 January 2026

2026-01-31T15:35:11Z

← Older revision		Revision as of 15:35, 31 January 2026
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	* ''[[Prodigy]]'' (+225/224 or 441/440) → [[Marvel family #Prodigy\|Marvel family]]		* ''[[Prodigy]]'' (+225/224 or 441/440) → [[Marvel family #Prodigy\|Marvel family]]
	* ''[[Agni]]'' (+385/384 or 2401/2400) → [[Breed family #Agni\|Breed family]]		* ''[[Agni]]'' (+385/384 or 2401/2400) → [[Breed family #Agni\|Breed family]]
	* ''[[Indra]]'' (+540/539) → [[Mirkwai family #~~Prodigy~~\|Mirkwai family]]		* ''[[Indra]]'' (+540/539) → [[Mirkwai family #Indra\|Mirkwai family]]
			* ''[[Moctpine]]'' (+4000/3993) → [[Wizardharry clan #Moctpine\|Wizardharry clan]]
	* ''[[Dimcomp]]'' (+6250/6237 or 9801/9800) → [[Dimcomp family #Undecimal dimcomp\|Dimcomp family]]		* ''[[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 ==		== Mendel ==
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	Badness (Sintel): 1.34		Badness (Sintel): 1.34

	~~== Moctpine ==~~
	~~Named by [[Xenllium]] in 2026, moctpine tempers out [[4000/3993]].~~

	~~[[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 ==		== Compass ==

FloraC: Expand

2026-01-17T16:54:56Z

Expand

← Older revision		Revision as of 16:54, 17 January 2026
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	: ''For the 7-limit version of this temperament, see [[Miscellaneous 7-limit temperaments #Metric]].''		: ''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		[[Subgroup]]: 2.3.5.7.11
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	== Moctpine ==		== Moctpine ==
			Named by [[Xenllium]] in 2026, moctpine tempers out [[4000/3993]].

	[[Subgroup]]: 2.3.5.7.11		[[Subgroup]]: 2.3.5.7.11

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	== Compass ==		== Compass ==
	: ''For the 7-limit version of this temperament, see [[Miscellaneous 7-limit temperaments #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		[[Subgroup]]: 2.3.5.7.11

FloraC: Review data

2026-01-17T16:48:49Z

Review data

Show changes

Xenllium at 13:35, 17 January 2026

2026-01-17T13:35:13Z

← Older revision		Revision as of 13:35, 17 January 2026
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	[[Badness]] (Sintel): 1.679		[[Badness]] (Sintel): 1.679

			=== 13-limit ===
			[[Subgroup]]: 2.3.5.7.11.13

			[[Comma list]]: 364/363, 625/624, 1375/1372

			{{Mapping\|legend=1\| 1 2 0 -2 -4 -6 \| 0 -5 0 2 6 5 \| 0 0 1 2 3 4 }}

			: Mapping generators: ~2, ~35/33, ~5

			[[Optimal tuning]]s:
			* [[WE]]: ~2 = 1199.911¢, ~35/33 = 99.519¢, ~5 = 2785.212¢
			* [[CWE]]: ~2 = 1200.000¢, ~35/33 = 99.540¢, ~5 = 2785.354¢

			{{Optimal ET sequence\|legend=1\| 12f, 25f, 37, 49f, 72, 121, 193 }}

			[[Badness]] (Sintel): 1.362

	[[Category:Temperament clans]]		[[Category:Temperament clans]]

Xenllium at 13:17, 17 January 2026

2026-01-17T13:17:18Z

@@ Line 10: / Line 10: @@
 * ''[[Dimcomp]]'' (+6250/6237 or 9801/9800) → [[Dimcomp family #Undecimal dimcomp|Dimcomp family]]
-Considered below are mendel (12 & 31 & 152) and moctpine (29 & 72 & 80), besides the no-3 subgroup temperament.
+Considered below are mendel, moctpine, and compass, besides the no-3 subgroup temperament.
 == Moctdelic ==
@@ Line 81: / Line 81: @@
 [[Badness]] (Sintel): 1.275
 [[Category:Temperament clans]]

Xenllium at 23:28, 10 January 2026

2026-01-10T23:28:07Z

← Older revision		Revision as of 23:28, 10 January 2026
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	== Mendel ==		== 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.

	[[Subgroup]]: 2.3.5.7.11		[[Subgroup]]: 2.3.5.7.11

Xenllium at 14:16, 10 January 2026

2026-01-10T14:16:53Z

← Older revision		Revision as of 14:16, 10 January 2026
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	[[Badness]] (Sintel): 1.202		[[Badness]] (Sintel): 1.202

			=== 13-limit ===
			[[Subgroup]]: 2.3.5.7.11.13

			[[Comma list]]: 352/351, 625/624, 1375/1372

			{{Mapping\|legend=1\| 1 0 2 1 -1 4 \| 0 1 1 3 6 3 \| 0 0 -3 -7 -12 -12 }}

			[[Optimal tuning]]s:
			* [[WE]]: ~2 = 1199.748¢, ~3 = 1902.479¢, ~75/56 = 505.405¢
			* [[CWE]]: ~2 = 1200.000¢, ~3 = 1902.813¢, ~75/56 = 505.516¢

			{{Optimal ET sequence\|legend=1\| 12f, 19e, 31, 90e, 109, 121, 140, 152f, 261, 292 }}

			[[Badness]] (Sintel): 1.339

	== Moctpine ==		== Moctpine ==

Xenllium: Created page with "{{Technical data page}} The '''moctdelismic clan''' of rank-3 temperaments tempers out the moctdel comma, 1375/1372, the amount by which a stack of three 7/5s falls short of 11/4, one octave above 11/8. The second comma in the comma list determines how we extend the no-3 subgroup temperament to include the harmonic 3. Indra adds 540/539 as well as 3025/3024, prodigy adds 225/224 as well as 441/4..."

2026-01-10T11:20:38Z

Created page with "{{Technical data page}} The '''moctdelismic clan''' of rank-3 temperaments tempers out the moctdel comma, 1375/1372, the amount by which a stack of three 7/5s falls short of 11/4, one octave above 11/8. The second comma in the comma list determines how we extend the no-3 subgroup temperament to include the harmonic 3. Indra adds 540/539 as well as 3025/3024, prodigy adds 225/224 as well as 441/4..."

New page

{{Technical data page}}
The '''moctdelismic clan''' of [[Rank-3 temperament|rank-3]] [[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 second comma in the comma list determines how we extend the no-3 subgroup temperament to include the harmonic 3. Indra adds [[540/539]] as well as [[3025/3024]], prodigy adds [[225/224]] as well as [[441/440]], and agni adds [[385/384]] as well as [[2401/2400]]. Dimcomp adds [[6250/6237]] as well as [[9801/9800]], splitting the octave in four.

Discussed elsewhere are:
* ''[[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 or 441/440) → [[Mirkwai family #Prodigy|Mirkwai family]]
* ''[[Dimcomp]]'' (+6250/6237 or 9801/9800) → [[Dimcomp family #Undecimal dimcomp|Dimcomp family]]

Considered below are mendel (12 & 31 & 152) and moctpine (29 & 72 & 80), besides the no-3 subgroup temperament.

== Moctdelic ==
[[Subgroup]]: 2.5.7.11

[[Comma list]]: 1375/1372

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

: Sval mapping generators: ~2, ~5, ~7

[[Optimal tuning]]s:
* [[WE]]: ~2 = 1200.056¢, ~5 = 2785.862¢, ~7 = 3369.486¢
* [[CWE]]: ~2 = 1200.000¢, ~5 = 2785.789¢, ~7 = 3369.416¢

{{Optimal ET sequence|legend=1| 25, 29, 31, 37 }}

[[Badness]] (Sintel): 0.110

== Mendel ==
[[Subgroup]]: 2.3.5.7.11

[[Comma list]]: 1375/1372, 5632/5625

{{Mapping|legend=1| 1 0 2 1 -1 | 0 1 1 3 6 | 0 0 -3 -7 -12 }}

: Mapping generators: ~2, ~3, ~75/56

[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.840¢, ~3 = 1902.091¢, ~75/56 = 505.185¢
* [[CWE]]: ~2 = 1200.000¢, ~3 = 1902.281¢, ~75/56 = 505.243¢

{{Optimal ET sequence|legend=1| 12, 19e, 31, 90e, 109, 121, 140, 152, 292 }}

[[Badness]] (Sintel): 1.202

== 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 = 1199.975¢, ~11/10 = 165.985¢, ~7/5 = 583.872¢
* [[CWE]]: ~2 = 1200.000¢, ~11/10 = 165.994¢, ~7/5 = 583.877¢

{{Optimal ET sequence|legend=1| 29, 37, 43, 72, 152, 224 }}

[[Badness]] (Sintel): 1.275

[[Category:Temperament clans]]
[[Category:Moctdelismic clan| ]] 
[[Category:Moctdelismic| ]] 
[[Category:Rank 3]]