Photosynthesis: Difference between revisions
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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" | ||
|- | |- | ||
!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 == | ||
| Line 56: | Line 56: | ||
[[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: | [[Category:Photosynthesis| ]] <!-- main article --> | ||
[[Category: | [[Category:Rank-2 temperaments]] | ||
[[Category:Golden]] | [[Category:Non-octave temperaments]] | ||
[[Category:Golden ratio]] | |||