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| {{Todo|inline=1|merge articles|comment= [[Photosynthesis]] → [[Irrational subgroup temperaments]] }}
| | #redirect [[Irrational-subgroup temperaments #Photosynthesis]] |
| '''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>.
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| == Interval chain (CTE tuning) ==
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| {|class="wikitable"
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| |-
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| ! Generators up
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| ! Cents
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| ! Generators down
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| ! Cents
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| |-
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| | 0
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| | 0.00
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| | 0
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| | 0.00
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| |-
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| | 1
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| | 224.90
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| | 1
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| | 608.19
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| |-
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| | 2
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| | 449.80
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| | 2
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| | 383.29
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| |-
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| | 3
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| | 674.70
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| | 3
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| | 158.39
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| |-
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| | 4
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| | 66.51
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| | 4
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| | 766.58
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| |-
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| | 5
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| | 291.41
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| | 5
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| | 541.68
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| |-
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| | 6
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| | 516.31
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| | 6
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| | 316.78
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| |}
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| == Temperament data ==
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| Note: This data is not 100% exact, it was calculated using a very close JI approximation of acoustic phi rather than acoustic phi itself
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| [[Subgroup]]: ϕ.3.5
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| [[Comma list]]: 243/(5 ϕ^8)
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| [[Mapping]]: [{{val|1 1 -3}}, {{val|0 1 5}}]]
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| [[CTE tuning|CTE generator]]: ~3/ϕ = 1057.989
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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]
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| [[Category:Photosynthesis| ]] <!-- main article -->
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| [[Category:Rank-2 temperaments]] | | [[Category:Rank-2 temperaments]] |
| [[Category:Non-octave temperaments]] | | [[Category:Non-octave temperaments]] |
| [[Category:Golden ratio]] | | [[Category:Golden ratio]] |