Semaphoresmic clan - Revision history

Hkm: /* 2.3.5.7.13 subgroup */

2026-06-08T17:45:14Z

2.3.5.7.13 subgroup

← Older revision		Revision as of 17:45, 8 June 2026
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	==== 2.3.5.7.13 subgroup ====		==== 2.3.5.7.13 subgroup ====
	Subgroup: 2.3.5.7~~.11~~.13		Subgroup: 2.3.5.7.13

	Comma list: 49/48, 81/80, 91/90		Comma list: 49/48, 81/80, 91/90

Overthink: /* Godzilla */ interwiki already on the main article

2026-05-23T02:49:32Z

Godzilla: interwiki already on the main article

← Older revision		Revision as of 02:49, 23 May 2026
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	== Godzilla ==		== Godzilla ==
	~~<span style="display: block; text-align: right;">[[:de:Semiphor, Semaphor, Godzilla\|Deutsch]]</span>~~
	{{Main\| Semaphore and godzilla }}		{{Main\| Semaphore and godzilla }}

Overthink: /* Helayo */ link scale pages

2026-05-01T00:40:32Z

Helayo: link scale pages

← Older revision		Revision as of 00:40, 1 May 2026
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	[[Badness]] (Sintel): 2.00		[[Badness]] (Sintel): 2.00

			Scales: [[Helayo14]], [[Helayo19]], [[Helayo24]]

	; Music		; Music

FloraC: Move semaerophore here

2026-04-30T13:06:41Z

Move semaerophore here

← Older revision		Revision as of 13:06, 30 April 2026
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	Considered below are godzilla, helayo, superpelog, baba, negri, and nuke.		Considered below are godzilla, helayo, superpelog, baba, negri, and nuke.

			=== Semaerophore ===
			Named by [[CompactStar]] in 2023, this extension tempers out [[729/704]]. It is the no-5 [[restriction]] of undecimal godzilla.

			Subgroup: 2.3.7.11

			Comma list: 49/48, 729/704

			Subgroup-val mapping: {{mapping\| 1 0 2 -6 \| 0 2 1 12 }}

			Optimal tunings:
			* WE: ~2 = 1204.9027{{c}}, ~7/4 = 948.7772{{c}}
			* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 945.4959{{c}}

			{{Optimal ET sequence\|legend=0\| 14, 33d, 47de }}

			Badness (Sintel): 1.27

			==== 2.3.7.11.19 subgroup ====
			Subgroup: 2.3.7.11.19

			Comma list: 49/48, 77/76, 729/704

			Subgroup-val mapping: {{mapping\| 1 0 2 -6 -6 \| 0 2 1 12 13 }}

			Optimal tunings:
			* WE: ~2 = 1204.9645{{c}}, ~7/4 = 948.5749{{c}}
			* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 945.2236{{c}}

			{{Optimal ET sequence\|legend=0\| 14, 33d, 47deh }}

			Badness (Sintel): 1.08

	== Godzilla ==		== Godzilla ==

FloraC: /* Helayo */ link

2026-03-16T11:56:28Z

Helayo: link

← Older revision		Revision as of 11:56, 16 March 2026
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	== Helayo ==		== Helayo ==
	: ''For the 5-limit version of this temperament see [[~~Miscellaneous 5-limit temperaments~~ #Hogzilla]].''		: ''For the 5-limit version of this temperament see [[Syntonic–kleismic equivalence continuum #Hogzilla]].''

	Helayo tempers out 3645/3584 and may be thought of as the opposite of godzilla with respect to 19edo. Like godzilla, 19edo's generator is close to the optimum.		Helayo tempers out 3645/3584 and may be thought of as the opposite of godzilla with respect to 19edo. Like godzilla, 19edo's generator is close to the optimum.

FloraC: Text replacement - "Category:Temperament clans↵Category:Pages with mostly numerical content" to "Category:Temperament clans"

2025-11-27T12:24:23Z

Text replacement - "Category:Temperament clans↵Category:Pages with mostly numerical content" to "Category:Temperament clans"

← Older revision		Revision as of 12:24, 27 November 2025
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	[[Category:Temperament clans]]		[[Category:Temperament clans]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Semaphoresmic clan\| ]] <!-- main article -->		[[Category:Semaphoresmic clan\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

FloraC: Update wording. - gencoms (trivial)

2025-08-23T11:30:20Z

Update wording. - gencoms (trivial)

← Older revision		Revision as of 11:30, 23 August 2025
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	{{Mapping\|legend=2\| 1 0 2 \| 0 2 1 }}		{{Mapping\|legend=2\| 1 0 2 \| 0 2 1 }}

	~~: sval mapping generators: ~2, ~7/4~~

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

	: ~~[[gencom]]~~: [2 7/4~~; 49/48]~~		: mapping generators: ~2, ~7/4

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
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	Comma list: 49/48, 81/80, 91/90		Comma list: 49/48, 81/80, 91/90

	~~Sval~~ mapping: {{mapping\| 1 0 -4 2 -5 \| 0 2 8 1 11 }}		Subgroup-val mapping: {{mapping\| 1 0 -4 2 -5 \| 0 2 8 1 11 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 49/48, 65/64, 91/90		Comma list: 49/48, 65/64, 91/90

	~~Sval~~ mapping: {{mapping\| 1 2 2 3 4 \| 0 -4 3 -2 -3 }}		Subgroup-val mapping: {{mapping\| 1 2 2 3 4 \| 0 -4 3 -2 -3 }}

	Gencom mapping: {{mapping\| 1 2 2 3 0 4 \| 0 -4 3 -2 0 -3 }}		Gencom mapping: {{mapping\| 1 2 2 3 0 4 \| 0 -4 3 -2 0 -3 }}

	~~: gencom: [2 14/13; 49/48 65/64 91/90]~~

	Optimal tunings:		Optimal tunings:

FloraC: Update linking

2025-08-21T12:39:57Z

Update linking

← Older revision		Revision as of 12:39, 21 August 2025
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	* [[Keemun]] (+126/125) → [[Kleismic family #Keemun\|Kleismic family]]		* [[Keemun]] (+126/125) → [[Kleismic family #Keemun\|Kleismic family]]
	* ''[[Nautilus]]'' (+250/243) → [[Porcupine family #Nautilus\|Porcupine family]]		* ''[[Nautilus]]'' (+250/243) → [[Porcupine family #Nautilus\|Porcupine family]]
	* ''[[Hemidim]]'' (+648/625) → [[~~Dimipent~~ family #Hemidim\|~~Dimipent~~ family]]		* ''[[Hemidim]]'' (+648/625) → [[Diminished family #Hemidim\|Diminished family]]
	* [[Blackwood]] (+28/27) → [[Limmic temperaments #Blackwood\|Limmic temperaments]]		* [[Blackwood]] (+28/27) → [[Limmic temperaments #Blackwood\|Limmic temperaments]]
	* ''[[Spell]]'' (+3125/3072) → [[Hemimean clan #Spell\|Hemimean clan]]		* ''[[Spell]]'' (+3125/3072) → [[Hemimean clan #Spell\|Hemimean clan]]

FloraC: /* Semaphore */ blacksmith -> blackwood

2025-07-21T09:55:48Z

Semaphore: blacksmith -> blackwood

← Older revision		Revision as of 09:55, 21 July 2025
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	These all use the same nominal generator as semaphore, though some of them are of very low accuracy.		These all use the same nominal generator as semaphore, though some of them are of very low accuracy.

	Decimal adds [[25/24]]. Anguirus adds [[2048/2025]]. Those split the octave in two. Negri adds [[225/224]], splitting the hemifourth in two. Triforce adds [[128/125]], splitting the octave in three. Keemun adds [[126/125]], splitting the hemitwelfth in three. Nautilus adds [[250/243]], splitting the hemifourth in three. Nuke is like nautilus, but adds 3584/3375 instead. Hemidim adds [[648/625]] with a 1/4-octave period. ~~Blacksmith~~ adds [[28/27]], ~~splitting the~~ octave ~~in five~~. Spell adds [[3125/3072]], splitting the hemitwelfth in five. Hemiripple adds 6561/6250, splitting the hemifourth in five. Finally, semabila adds 28672/28125 and splits an interval of two octaves plus a hemifourth in five.		Decimal adds [[25/24]]. Anguirus adds [[2048/2025]]. Those split the octave in two. Negri adds [[225/224]], splitting the hemifourth in two. Triforce adds [[128/125]], splitting the octave in three. Keemun adds [[126/125]], splitting the hemitwelfth in three. Nautilus adds [[250/243]], splitting the hemifourth in three. Nuke is like nautilus, but adds 3584/3375 instead. Hemidim adds [[648/625]] with a 1/4-octave period. Blackwood adds [[28/27]], with a 1/5-octave period. Spell adds [[3125/3072]], splitting the hemitwelfth in five. Hemiripple adds 6561/6250, splitting the hemifourth in five. Finally, semabila adds 28672/28125 and splits an interval of two octaves plus a hemifourth in five.

	Discussed elsewhere are		Discussed elsewhere are

FloraC: Pair 91/90 with 105/104. Intro to wilsec and flip the mapping of it.

2025-07-20T14:07:23Z

Pair 91/90 with 105/104. Intro to wilsec and flip the mapping of it.

← Older revision		Revision as of 14:07, 20 July 2025
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	{{Main\| Semaphore and godzilla }}		{{Main\| Semaphore and godzilla }}

	Godzilla tempers out [[81/80]], equating [[9/8]] and [[10/9]], so it finds the prime 5 at a stack of four fifths, as does any temperament in the [[meantone family]]. Like many entries of this clan, godzilla can be extended naturally to the 2.3.5.7.13 subgroup by identifying the hemifourth as ~15/13, tempering out [[91/90]]. [[19edo]] is close to being the optimal generator tuning; hence it can be more or less equated with taking 4\19 as a generator. [[Mos scale]]s are of 5, 9, or 14 notes.		Godzilla tempers out [[81/80]], equating [[9/8]] and [[10/9]], so it finds the prime 5 at a stack of four fifths, as does any temperament in the [[meantone family]]. Like many entries of this clan, godzilla can be extended naturally to the 2.3.5.7.13 subgroup by identifying the hemifourth as ~15/13, tempering out [[91/90]] and [[105/104]]. [[19edo]] is close to being the optimal generator tuning; hence it can be more or less equated with taking 4\19 as a generator. [[Mos scale]]s are of 5, 9, or 14 notes.

	=== 7-limit ===		=== 7-limit ===
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	: ''For the 5-limit version, see [[Syntonic–kleismic equivalence continuum #Negri (5-limit)]].''		: ''For the 5-limit version, see [[Syntonic–kleismic equivalence continuum #Negri (5-limit)]].''

	Negri tempers out the [[negri comma]] in the 5-limit, 49/48 and [[225/224]] in the 7-limit. It may be described as {{nowrap\| 9 & 10 }}; its ploidacot is omega-tetracot. It can be extended naturally to the 2.3.5.7.13 subgroup by adding [[91/90]] to the comma list; this will be discussed below under the title of negra.		Negri tempers out the [[negri comma]] in the 5-limit, 49/48 and [[225/224]] in the 7-limit. It may be described as {{nowrap\| 9 & 10 }}; its ploidacot is omega-tetracot. It can be extended naturally to the 2.3.5.7.13 subgroup by adding 91/90 and/or 105/104 to the comma list; this will be discussed below under the title of negra.

	=== 7-limit ===		=== 7-limit ===
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	=== Wilsec ===		=== Wilsec ===
			Wilsec splits the fifthward generator of negri in half for 11/8~15/11, tempering out [[121/120]]. Its ploidacot is gamma-octacot.

	Subgroup: 2.3.5.7.11		Subgroup: 2.3.5.7.11

	Comma list: 49/48, 121/120, 225/224		Comma list: 49/48, 121/120, 225/224

	Mapping: {{mapping\| 1 6 -1 ~~5 4~~ \| 0 -8 6 -4 -1 }}		Mapping: {{mapping\| 1 -2 5 1 3 \| 0 8 -6 4 1 }}

	: mapping generators: ~2, ~16/11		: mapping generators: ~2, ~11/8

	Optimal tunings:		Optimal tunings:
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	Comma list: 49/48, 65/64, 91/90, 121/120		Comma list: 49/48, 65/64, 91/90, 121/120

	Mapping: {{mapping\| 1 6 -1 ~~5 4 7~~ \| 0 -8 6 -4 -1 -6 }}		Mapping: {{mapping\| 1 -2 5 1 3 1 \| 0 8 -6 4 1 6 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 49/48, 65/64, 91/90, 121/120, 154/153		Comma list: 49/48, 65/64, 91/90, 121/120, 154/153

	Mapping: {{mapping\| 1 6 -1 ~~5 4 7 -2~~ \| 0 -8 6 -4 -1 -6 11 }}		Mapping: {{mapping\| 1 -2 5 1 3 1 9 \| 0 8 -6 4 1 6 -11 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153		Comma list: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153

	Mapping: {{mapping\| 1 6 -1 ~~5 4 7 -~~2 7 \| 0 -8 6 -4 -1 -6 11 -5 }}		Mapping: {{mapping\| 1 -2 5 1 3 1 9 2 \| 0 8 -6 4 1 6 -11 5 }}

	Optimal tunings:		Optimal tunings:

← Older revision		Revision as of 12:39, 21 August 2025
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	* [[Keemun]] (+126/125) → [[Kleismic family #Keemun\|Kleismic family]]		* [[Keemun]] (+126/125) → [[Kleismic family #Keemun\|Kleismic family]]
	* ''[[Nautilus]]'' (+250/243) → [[Porcupine family #Nautilus\|Porcupine family]]		* ''[[Nautilus]]'' (+250/243) → [[Porcupine family #Nautilus\|Porcupine family]]
	* ''[[Hemidim]]'' (+648/625) → [[~~Dimipent~~ family #Hemidim\|~~Dimipent~~ family]]		* ''[[Hemidim]]'' (+648/625) → [[Diminished family #Hemidim\|Diminished family]]
	* [[Blackwood]] (+28/27) → [[Limmic temperaments #Blackwood\|Limmic temperaments]]		* [[Blackwood]] (+28/27) → [[Limmic temperaments #Blackwood\|Limmic temperaments]]
	* ''[[Spell]]'' (+3125/3072) → [[Hemimean clan #Spell\|Hemimean clan]]		* ''[[Spell]]'' (+3125/3072) → [[Hemimean clan #Spell\|Hemimean clan]]