Photosynthesis - Revision history

FloraC: Collect non-octave temperaments in one category

2025-04-29T09:27:16Z

Collect non-octave temperaments in one category

← Older revision		Revision as of 09:27, 29 April 2025
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	[[Category:Photosynthesis\| ]] <!-- main article -->		[[Category:Photosynthesis\| ]] <!-- main article -->
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
	[[Category:~~Subgroup~~ temperaments]]		[[Category:Non-octave temperaments]]
	~~[[Category:Nonoctave~~]]
	[[Category:Golden ratio]]		[[Category:Golden ratio]]

2025-04-28T14:32:42Z

- parent category

← Older revision		Revision as of 14:32, 28 April 2025
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	{\|class="wikitable"		{\|class="wikitable"
	\|-		\|-
	!Generators up		! Generators up
	!Cents		! Cents
	!Generators down		! Generators down
	!Cents		! Cents
	\|-		\|-
	\|0		\| 0
	\|0.00		\| 0.00
	\|0		\| 0
	\|0.00		\| 0.00
	\|-		\|-
	\|1		\| 1
	\|224.90		\| 224.90
	\|1		\| 1
	\|608.19		\| 608.19
	\|-		\|-
	\|2		\| 2
	\|449.80		\| 449.80
	\|2		\| 2
	\|383.29		\| 383.29
	\|-		\|-
	\|3		\| 3
	\|674.70		\| 674.70
	\|3		\| 3
	\|158.39		\| 158.39
	\|-		\|-
	\|4		\| 4
	\|66.51		\| 66.51
	\|4		\| 4
	\|766.58		\| 766.58
	\|-		\|-
	\|5		\| 5
	\|291.41		\| 291.41
	\|5		\| 5
	\|541.68		\| 541.68
	\|-		\|-
	\|6		\| 6
	\|516.31		\| 516.31
	\|6		\| 6
	\|316.78		\| 316.78
	\|}		\|}
	== Temperament data ==		== Temperament data ==
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	[[Edφ\|Edϕ]]s: 11, 15, 7[+5], 19[-5], 26, 5[--5], 18[+5], 23[-3, -5], 34[-3, -5], 37, 41[-3], 27[-3, -5], 49[-3, -5], 31[-3, --5]		[[Edφ\|Edϕ]]s: 11, 15, 7[+5], 19[-5], 26, 5[--5], 18[+5], 23[-3, -5], 34[-3, -5], 37, 41[-3], 27[-3, -5], 49[-3, -5], 31[-3, --5]

	[[Category:~~Temperaments~~]]		[[Category:Photosynthesis\| ]] <!-- main article -->
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
			[[Category:Subgroup temperaments]]
	[[Category:Nonoctave]]		[[Category:Nonoctave]]
	[[Category:Golden ratio]]		[[Category:Golden ratio]]

2025-04-19T23:36:53Z

2023-04-28T09:26:55Z

Moved from category "golden" to "golden ratio"

2023-04-06T03:39:25Z

← Older revision		Revision as of 03:39, 6 April 2023
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	'''Photosynthesis''' is the [[nonoctave]] [[temperament]] tempering out the comma 243/(5 ϕ^8) in the ϕ.3.5 fractional [[subgroup]], equating 5 [[3/1]] with [[5/1]]. It has a period of [[acoustic phi]] and a generator of a major second just flat of 3/(ϕ^2), the "phi-reduced 3rd harmonic".		'''Photosynthesis''' is the [[nonoctave]] [[temperament]] tempering out the comma 243/(5 ϕ^8) in the ϕ.3.5 fractional [[subgroup]], equating 5 [[3/1]] with [[5/1]]. It has a period of [[acoustic phi]] and a generator of a major second just flat of 3/(ϕ^2), the "phi-reduced 3rd harmonic". It possesses MOS scales of the families 3L 1s<ϕ>, 4L 3s<ϕ>, 4L 7s<ϕ>, and 11L 4s<ϕ>.
	== Interval chain (CTE tuning) ==		== Interval chain (CTE tuning) ==
	{\|class="wikitable"		{\|class="wikitable"

2023-04-06T01:43:57Z

2023-04-06T01:43:52Z

← Older revision		Revision as of 01:43, 6 April 2023
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	\|}		\|}
	== Temperament data ==		== Temperament data ==
	Note: This data is not exact, it was calculated using a very close JI approximation of acoustic phi rather than acoustic phi itself		Note: This data is not 100% exact, it was calculated using a very close JI approximation of acoustic phi rather than acoustic phi itself

	[[Subgroup]]: ϕ.3.5		[[Subgroup]]: ϕ.3.5
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	[[Comma list]]: 243/(5 ϕ^8)		[[Comma list]]: 243/(5 ϕ^8)

			[[Mapping]]: [{{val\|1 1 -3}}, {{val\|0 1 5}}]]
	[[CTE tuning\|CTE generator]]: ~3/ϕ = 1057.989		[[CTE tuning\|CTE generator]]: ~3/ϕ = 1057.989

2023-04-06T01:43:12Z

2023-04-06T01:42:47Z

@@ Line 19: / Line 19: @@
 |-
 |2
+|449.80
 |}
-WIP
+== Temperament data ==
 [[Category:Temperaments]]
 [[Category:Nonoctave]]
 [[Category:Golden]]

2023-04-06T01:38:46Z