1375/1372 - Revision history

FloraC: The use of moctdelismic implies the comma name moctdelisma

2026-01-10T10:48:09Z

The use of *moctdelismic* implies the comma name *moctdelisma*

← Older revision		Revision as of 10:48, 10 January 2026
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	{{Infobox interval		{{Infobox interval
	\| Name = moctdel comma		\| Name = moctdel comma, moctdelisma
	\| Color name = 1or<sup>3</sup>y<sup>3</sup>-3, lotriruyo negative 3rd, <br>Lotriruyo comma		\| Color name = 1or<sup>3</sup>y<sup>3</sup>-3, lotriruyo negative 3rd, <br>Lotriruyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}
	'''1375/1372''', the '''moctdel comma''' is a no-threes [[11-limit]] comma with a size of 3.78 [[cent]]s. It is the amount by which a stack of three [[7/5]]s falls short of [[11/4]], undecimal eleventh (one octave above [[11/8]]). Some rank-two temperaments such as [[Gamelismic clan\|miracle]], [[Ragismic microtemperaments\|octoid]] and [[Mirkwai clan\|grendel]] temper out this comma, and from this it derives its name.		'''1375/1372''', the '''moctdel comma''' or '''moctdelisma''' is a no-threes [[11-limit]] comma with a size of 3.78 [[cent]]s. It is the amount by which a stack of three [[7/5]]s falls short of [[11/4]], undecimal eleventh (one octave above [[11/8]]). Some rank-two temperaments such as [[Gamelismic clan\|miracle]], [[Ragismic microtemperaments\|octoid]] and [[Mirkwai clan\|grendel]] temper out this comma, and from this it derives its name.

	== Temperaments ==		== Temperaments ==
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	== See also ==		== See also ==
	* [[Small comma]]		* [[Small comma]]
	* [[~~Moctdel~~ clan]]		* [[Moctdelismic clan]]

	[[Category:~~Moctdel~~]]		[[Category:Moctdelismic]]
	[[Category:Commas named by combining multiple temperament names]]		[[Category:Commas named by combining multiple temperament names]]

VectorGraphics at 05:37, 10 January 2026

2026-01-10T05:37:20Z

← Older revision		Revision as of 05:37, 10 January 2026
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	== Temperaments ==		== Temperaments ==
	Tempering out this comma leads to the rank-4 '''~~moctdel~~ temperament''' in the full [[11-limit]], and '''moctdelic temperament''' in its minimal prime [[subgroup]] of 2.5.7.11.		Tempering out this comma leads to the rank-4 '''moctdelismic temperament''' in the full [[11-limit]], and '''moctdelic temperament''' in its minimal prime [[subgroup]] of 2.5.7.11.

	In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds [[25/16]]~[[11/7]] and seven gens finds [[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup.		In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds [[25/16]]~[[11/7]] and seven gens finds [[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup.

VectorGraphics: systematic name

2026-01-10T05:37:00Z

systematic name

← Older revision		Revision as of 05:37, 10 January 2026
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	In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds [[25/16]]~[[11/7]] and seven gens finds [[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup.		In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds [[25/16]]~[[11/7]] and seven gens finds [[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup.

	=== ~~Moctdel~~ ===		=== Moctdelismic ===
	[[Comma list]]: 1375/1372		[[Comma list]]: 1375/1372

Xenllium: /* Temperaments */

2026-01-10T02:17:16Z

Temperaments

← Older revision		Revision as of 02:17, 10 January 2026
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	== Temperaments ==		== Temperaments ==
	Tempering out this comma leads to the rank-4 '''moctdel temperament''' in the full [[11-limit]], and moctdelic temperament in its minimal prime [[subgroup]] of 2.5.7.11.		Tempering out this comma leads to the rank-4 '''moctdel temperament''' in the full [[11-limit]], and '''moctdelic temperament''' in its minimal prime [[subgroup]] of 2.5.7.11.

	In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds [[25/16]]~[[11/7]] and seven gens finds [[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup.		In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds [[25/16]]~[[11/7]] and seven gens finds [[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup.

			=== Moctdel ===
			[[Comma list]]: 1375/1372

			[[Subgroup]]: full 11-limit

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

			[[Optimal tuning]]s:
			* [[WE]]: ~2 = 1200.056¢, ~3 = 1901.955¢, ~5 = 2785.862¢, ~7 = 3369.486¢
			* [[CWE]]: ~2 = 1200.000¢, ~3 = 1901.910¢, ~5 = 2785.789¢, ~7 = 3369.416¢

			{{Optimal ET sequence\|legend=1\| 12, 19e, 29, 31, 41, 72, 152, 224 }}

			[[Badness]] (Sintel): 0.723

	=== Moctdelic ===		=== Moctdelic ===

Xenllium at 02:02, 10 January 2026

2026-01-10T02:02:23Z

← Older revision		Revision as of 02:02, 10 January 2026
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	{{Infobox ~~Interval~~		{{Infobox interval
	\| Name = moctdel comma		\| Name = moctdel comma
	\| Color name = 1or<sup>3</sup>y<sup>3</sup>-3, lotriruyo negative 3rd, <br>Lotriruyo comma		\| Color name = 1or<sup>3</sup>y<sup>3</sup>-3, lotriruyo negative 3rd, <br>Lotriruyo comma
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	== Temperaments ==		== Temperaments ==
	Tempering out this comma leads to the rank-4 '''moctdel''' ~~temperament~~ in the full [[11-limit]], and ~~'''~~moctdelic~~'''~~ temperament in its minimal prime [[subgroup]] of 2.5.7.11.		Tempering out this comma leads to the rank-4 '''moctdel temperament''' in the full [[11-limit]], and moctdelic temperament in its minimal prime [[subgroup]] of 2.5.7.11.

	In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds [[25/16]]~[[11/7]] and seven gens finds [[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup.		In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds [[25/16]]~[[11/7]] and seven gens finds [[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup.

			=== Moctdelic ===
			[[Comma list]]: 1375/1372

			[[Subgroup]]: 2.5.7.11

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

			[[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

	== See also ==		== See also ==
	* [[Small comma]]		* [[Small comma]]
	* [[Moctdel clan]]		* [[Moctdel clan]]
	* [[Didacus]]

	[[Category:Moctdel]]		[[Category:Moctdel]]
	[[Category:Commas named by combining multiple temperament names]]		[[Category:Commas named by combining multiple temperament names]]

Xenllium at 01:42, 10 January 2026

2026-01-10T01:42:06Z

← Older revision		Revision as of 01:42, 10 January 2026
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	}}		}}
	'''1375/1372''', the '''moctdel comma''' is a no-threes [[11-limit]] comma with a size of 3.78 [[cent]]s. It is the amount by which a stack of three [[7/5]]s falls short of [[11/4]], undecimal eleventh (one octave above [[11/8]]). Some rank-two temperaments such as [[Gamelismic clan\|miracle]], [[Ragismic microtemperaments\|octoid]] and [[Mirkwai clan\|grendel]] temper out this comma, and from this it derives its name.		'''1375/1372''', the '''moctdel comma''' is a no-threes [[11-limit]] comma with a size of 3.78 [[cent]]s. It is the amount by which a stack of three [[7/5]]s falls short of [[11/4]], undecimal eleventh (one octave above [[11/8]]). Some rank-two temperaments such as [[Gamelismic clan\|miracle]], [[Ragismic microtemperaments\|octoid]] and [[Mirkwai clan\|grendel]] temper out this comma, and from this it derives its name.
	=== Temperaments ===
	In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds ~~[[~]]~~[[25/16]][[~]][[11/7]] and seven gens finds ~~[[~]]~~[[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup.		== Temperaments ==
			Tempering out this comma leads to the rank-4 '''moctdel''' temperament in the full [[11-limit]], and '''moctdelic''' temperament in its minimal prime [[subgroup]] of 2.5.7.11.

			In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds [[25/16]]~[[11/7]] and seven gens finds [[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup.

	== See also ==		== See also ==
	* [[Small comma]]		* [[Small comma]]
			* [[Moctdel clan]]
	* [[Didacus]]		* [[Didacus]]

	[[Category:Moctdel]]		[[Category:Moctdel]]
	[[Category:Commas named by combining multiple temperament names]]		[[Category:Commas named by combining multiple temperament names]]

BudjarnLambeth at 13:25, 3 November 2024

2024-11-03T13:25:43Z

← Older revision		Revision as of 13:25, 3 November 2024
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	[[Category:Moctdel]]		[[Category:Moctdel]]
			[[Category:Commas named by combining multiple temperament names]]

Godtone at 16:47, 6 October 2024

2024-10-06T16:47:33Z

← Older revision		Revision as of 16:47, 6 October 2024
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	== See also ==		== See also ==
	* [[Small comma]]		* [[Small comma]]
			* [[Didacus]]

	[[Category:Moctdel]]		[[Category:Moctdel]]

Godtone: note relation to didacus

2024-10-06T16:47:22Z

note relation to didacus

← Older revision		Revision as of 16:47, 6 October 2024
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	\| Comma = yes		\| Comma = yes
	}}		}}
	'''1375/1372''', the '''moctdel comma''' is a no-threes [[11-limit]] comma with a size of 3.78 [[cent]]s. It is the amount by which a stack of three [[7/5]]s falls short of [[11/4]], undecimal eleventh (one octave above [[11/8]]). Some rank-two temperaments such as [[Gamelismic clan\|miracle]], [[Ragismic microtemperaments\|octoid]] and [[Mirkwai clan\|grendel]] temper out this comma, and from this it derives its name.		'''1375/1372''', the '''moctdel comma''' is a no-threes [[11-limit]] comma with a size of 3.78 [[cent]]s. It is the amount by which a stack of three [[7/5]]s falls short of [[11/4]], undecimal eleventh (one octave above [[11/8]]). Some rank-two temperaments such as [[Gamelismic clan\|miracle]], [[Ragismic microtemperaments\|octoid]] and [[Mirkwai clan\|grendel]] temper out this comma, and from this it derives its name.
			=== Temperaments ===
			In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds [[~]][[25/16]][[~]][[11/7]] and seven gens finds [[~]][[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup.

	== See also ==		== See also ==

Xenllium: Created page with "{{Infobox Interval | Name = moctdel comma | Color name = 1or³y³-3, lotriruyo negative 3rd,
Lotriruyo comma | Comma = yes }} '''1375/1372''', the '''m..."

2024-05-07T11:53:39Z

Created page with "{{Infobox Interval | Name = moctdel comma | Color name = 1or3y3-3, lotriruyo negative 3rd, Lotriruyo comma | Comma = yes }} '''1375/1372''', the '''m..."

New page

{{Infobox Interval
| Name = moctdel comma
| Color name = 1or3y3-3, lotriruyo negative 3rd, Lotriruyo comma
| Comma = yes
}}
'''1375/1372''', the '''moctdel comma''' is a no-threes [[11-limit]] comma with a size of 3.78 [[cent]]s. It is the amount by which a stack of three [[7/5]]s falls short of [[11/4]], undecimal eleventh (one octave above [[11/8]]). Some rank-two temperaments such as [[Gamelismic clan|miracle]], [[Ragismic microtemperaments|octoid]] and [[Mirkwai clan|grendel]] temper out this comma, and from this it derives its name.

== See also ==
* [[Small comma]]

[[Category:Moctdel]]