Vishdelismic clan - Revision history

FloraC: /* Vishdelic */

2026-09-10T06:16:01Z

Vishdelic

← Older revision		Revision as of 06:16, 10 September 2026
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	=== Overview to extensions ===		=== Overview to extensions ===
	Temperaments discussed elsewhere are:		Temperaments discussed elsewhere are:
	* ''[[Minerva]]'' (+~~176~~/~~175~~) → [[Marvel family #Minerva\|Marvel family]]		* ''[[Minerva]]'' (+99/98) → [[Marvel family #Minerva\|Marvel family]]
	* ''[[Zelda]]'' (+385/384) → [[Horwell family #Zelda\|Horwell family]]		* ''[[Zelda]]'' (+385/384) → [[Horwell family #Zelda\|Horwell family]]
	* ''[[Belobog]]'' (+441/440) → [[Hemimean family #Belobog\|Hemimean family]]		* ''[[Belobog]]'' (+441/440) → [[Hemimean family #Belobog\|Hemimean family]]
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	* ''[[Zisa]]'' (+2401/2400) → [[Breed family #Zisa\|Breed family]]		* ''[[Zisa]]'' (+2401/2400) → [[Breed family #Zisa\|Breed family]]

	The rest are considered below.		The rest are considered below.

	== Ganesha ==		== Ganesha ==

FloraC: + intro to vishdelic

2026-09-08T13:24:18Z

+ intro to vishdelic

← Older revision		Revision as of 13:24, 8 September 2026
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	== Vishdelic ==		== Vishdelic ==
			The head of this clan is vishdelic, which finds [[11/9]] as a stack of four [[5/4]] major thirds minus an octave.

	[[Subgroup]]: 2.3.5.11		[[Subgroup]]: 2.3.5.11

FloraC: - typo

2026-09-08T13:15:43Z

- typo

← Older revision		Revision as of 13:15, 8 September 2026
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	=== Overview to extensions ===		=== Overview to extensions ===
	Temperaments discussed ~~elswhere~~ are:		Temperaments discussed elsewhere are:
	* ''[[Minerva]]'' (+176/175) → [[Marvel family #Minerva\|Marvel family]]		* ''[[Minerva]]'' (+176/175) → [[Marvel family #Minerva\|Marvel family]]
	* ''[[Zelda]]'' (+385/384) → [[Horwell family #Zelda\|Horwell family]]		* ''[[Zelda]]'' (+385/384) → [[Horwell family #Zelda\|Horwell family]]

FloraC: + list of other temps

2026-09-08T13:15:28Z

+ list of other temps

← Older revision		Revision as of 13:15, 8 September 2026
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	[[Badness]] (Sintel): 0.183		[[Badness]] (Sintel): 0.183

			=== Overview to extensions ===
			Temperaments discussed elswhere are:
			* ''[[Minerva]]'' (+176/175) → [[Marvel family #Minerva\|Marvel family]]
			* ''[[Zelda]]'' (+385/384) → [[Horwell family #Zelda\|Horwell family]]
			* ''[[Belobog]]'' (+441/440) → [[Hemimean family #Belobog\|Hemimean family]]
			* ''[[Jupiter]]'' (+540/539) → [[Porwell family #Jupiter\|Porwell family]]
			* ''[[Mendel]]'' (+1375/1372) → [[Moctdelismic clan #Mendel\|Moctdelismic clan]]
			* ''[[Zisa]]'' (+2401/2400) → [[Breed family #Zisa\|Breed family]]

			The rest are considered below.

	== Ganesha ==		== Ganesha ==

FloraC: Move ganesha, loki, and baffin here

2026-09-08T12:41:04Z

Move ganesha, loki, and baffin here

← Older revision		Revision as of 12:41, 8 September 2026
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	[[Badness]] (Sintel): 0.183		[[Badness]] (Sintel): 0.183

			== Ganesha ==
			: ''For the 7-limit version, see [[Miscellaneous 7-limit temperaments #Quasiorwellismic]].''

			[[Subgroup]]: 2.3.5.7.11

			[[Comma list]]: 3025/3024, 5632/5625

			{{Mapping\|legend=1\| 1 0 0 -22 -9 \| 0 1 0 1 2 \| 0 0 1 10 4 }}

			[[Optimal tuning]]s:
			* [[WE]]: ~2 = 1199.9176{{c}}, ~3/2 = 702.1769{{c}}, ~5/4 = 386.6642{{c}}
			: [[error map]]: {{val\| -0.082 +0.139 +0.186 +0.075 -0.390 }}
			* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.1836{{c}}, ~5/4 = 386.6860{{c}}
			: error map: {{val\| 0.000 +0.229 +0.372 +0.218 -0.207 }}

			{{Optimal ET sequence\|legend=1\| 31, 65d, 87, 118, 152, 239, 270, 962, 1232, 1502 }}

			[[Badness]] (Sintel): 0.469

			== Loki ==
			[[Subgroup]]: 2.3.5.7.11

			[[Comma list]]: 5632/5625, 9801/9800

			{{Mapping\|legend=1\| 2 0 0 -21 -18 \| 0 1 0 4 2 \| 0 0 1 3 4 }}
			: mapping generators: ~99/70, ~3, ~5

			[[Optimal tuning]]s:
			* [[WE]]: ~99/70 = 599.9481{{c}}, ~3/2 = 702.1195{{c}}, ~5/4 = 386.7636{{c}}
			: [[error map]]: {{val\| -0.104 +0.061 +0.242 -0.005 -0.128 }}
			* [[CWE]]: ~99/70 = 600.0000{{c}}, ~3/2 = 702.1647{{c}}, ~5/4 = 386.7768{{c}}
			: error map: {{val\| 0.000 +0.210 +0.463 +0.163 +0.119 }}

			{{Optimal ET sequence\|legend=1\| 12, 22, 34d, 56d, 74d, 84de, 96d, 118, 130, 152, 248, 270, 670, 822, 940, 1092, 1362c, 2032c, 2302c }}

			[[Badness]] (Sintel): 0.592

			== Baffin ==
			: ''For the 7-limit version, see [[Miscellaneous 7-limit temperaments #Decovulture]].''

			Baffin tempers out the [[olympia]] and the [[seascape comma]] in addition to the vishdelisma, so that the [[3/1\|3rd]] [[harmonic]] is split in halves. This leads naturally to a [[13-limit]] temperament where [[676/675]], [[1001/1000]], [[2080/2079]] and [[4096/4095]] are all tempered out.

			It was named by [[Gene Ward Smith]] some time before 2011 for {{w\|Baffin Island}}, as part of a series of island-themed names<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96550.html#96556 Yahoo! Tuning Group \| ''Madagascar<nowiki>[</nowiki>19<nowiki>]</nowiki>'']</ref>.

			[[Subgroup]]: 2.3.5.7.11

			[[Comma list]]: 5632/5625, 131072/130977

			{{Mapping\|legend=1\| 1 0 0 13 -9 \| 0 2 0 -7 4 \| 0 0 1 -2 4 }}
			: mapping generators: ~2, ~400/231, ~5

			[[Optimal tuning]]s:
			* [[WE]]: ~2 = 1199.9208{{c}}, ~400/231 = 950.9957{{c}}, ~5/4 = 386.7656{{c}}
			: [[error map]]: {{val\| -0.079 +0.036 +0.293 -0.040 -0.193 }}
			* [[CWE]]: ~2 = 1200.0000{{c}}, ~400/231 = 951.0635{{c}}, ~5/4 = 386.7769{{c}}
			: error map: {{val\| 0.000 +0.172 +0.463 +0.176 +0.044 }}

			{{Optimal ET sequence\|legend=1\| 34, 43, 53, 87, 130, 183, 270, 670, 940, 1210, 2063c }}

			[[Badness]] (Sintel): 1.17

			=== 13-limit ===
			Subgroup: 2.3.5.7.11.13

			Comma list: 676/675, 1001/1000, 4096/4095

			Mapping: {{mapping\| 1 0 0 13 -9 1 \| 0 2 0 -7 4 3 \| 0 0 1 -2 4 1 }}

			Optimal tunings:
			* WE: ~2 = 1199.9633{{c}}, ~400/231 = 951.0591{{c}}, ~5/4 = 386.7388{{c}}
			* CWE: ~2 = 1200.0000{{c}}, ~400/231 = 951.0896{{c}}, ~5/4 = 386.7451{{c}}

			{{Optimal ET sequence\|legend=0\| 34, 43, 53, 87, 130, 183, 217, 270, 940, 1210f }}

			Badness (Sintel): 0.565

			Complexity spectrum: 15/13, 16/15, 13/12, 4/3, 16/13, 5/4, 18/13, 13/10, 6/5, 9/8, 11/10, 8/7, 7/5, 15/11, 10/9, 13/11, 15/14, 11/8, 7/6, 14/13, 12/11, 9/7, 11/9, 14/11

			== References ==

	[[Category:Vishdelismic clan\| ]] <!-- main article -->		[[Category:Vishdelismic clan\| ]] <!-- main article -->

FloraC: + hatnote

2026-09-08T12:23:15Z

+ hatnote

← Older revision		Revision as of 12:23, 8 September 2026
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			{{Technical data page}}

	The '''vishdelismic clan''' of [[rank-3 temperament]]s [[tempering out\|tempers out]] the [[vishdelisma]] ({{monzo\|legend=1\| 14 -3 -1 0 -2 }}, [[ratio]]: 5632/5625).		The '''vishdelismic clan''' of [[rank-3 temperament]]s [[tempering out\|tempers out]] the [[vishdelisma]] ({{monzo\|legend=1\| 14 -3 -1 0 -2 }}, [[ratio]]: 5632/5625).

FloraC: + categories

2026-09-08T12:22:35Z

+ categories

← Older revision		Revision as of 12:22, 8 September 2026
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	[[Badness]] (Sintel): 0.183		[[Badness]] (Sintel): 0.183

			[[Category:Vishdelismic clan\| ]] <!-- main article -->
			[[Category:Vishdelismic\| ]] <!-- key article -->
			[[Category:Temperament clans]]
			[[Category:Catalogs of rank-3 temperaments]]

FloraC: Birth

2026-09-08T12:21:05Z

Birth

New page

The '''vishdelismic clan''' of [[rank-3 temperament]]s [[tempering out|tempers out]] the [[vishdelisma]] ({{monzo|legend=1| 14 -3 -1 0 -2 }}, [[ratio]]: 5632/5625).

For the rank-4 temperament, see [[Catalog of rank-4 temperaments #Vishdelismic (5632/5625)]].

== Vishdelic ==
[[Subgroup]]: 2.3.5.11

[[Comma list]]: 5632/5625

{{Mapping|legend=1| 1 0 0 -9 | 0 1 0 2 | 0 0 1 4 }}
: mapping generators: ~2, ~3, ~5

[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.8976{{c}}, ~3/2 = 702.1145{{c}}, ~5/4 = 386.7638{{c}}
: [[error map]]: {{val| -0.102 +0.057 +0.245 -0.136 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.1309{{c}}, ~5/4 = 386.7770{{c}}
: error map: {{val| 0.000 +0.176 +0.463 +0.052 }}

{{Optimal ET sequence|legend=1| 31, 34, 53, 65, 87, 118, 152, 270, 335, 605, 940, 1092, 1362c, 1697c, 2302c }}

[[Badness]] (Sintel): 0.183