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| [https://en.xen.wiki/w/File:Blackwood_resolution.wav Blackwood(10)] | | [https://en.xen.wiki/w/File:Blackwood_resolution.wav Blackwood(10)] |
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| == Trififth Temperament ==
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| Trififth temperament is the name I've given to the 2.3.7-limit temperament with a generator of a flat [[8/7]] that tempers out 1029/1024. The simplest primes it can give are [[7/4]] down one generator and [[3/2]] up 3 generators, hence the name. Other primes are in the double digits, with 5 being 17 generators.
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| This is the closest [http://www.microtonalsoftware.com/scale-tree.html?left=13&right=17&rr=1200&ioi=279.944474 scale tree] I could find for EDOs that support the generator, starting with [[5edo|5]] and [[16edo|16EDO]]. To my knowledge, there's no zigzag pattern for the generator.
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| === Interval Chain ===
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| {| class="wikitable"
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| !991.96
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| !26.63
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| !261.30
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| !495.98
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| !730.65
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| !965.33
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| !0.0
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| !234.67
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| !469.35
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| !704.02
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| !938.69
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| !1173.37
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| !208.04
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| |-
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| |16/9 -4c
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| |[[64/63]]
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| |7/6 +6c
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| |[[4/3]]
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| |[[32/21]]
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| |7/4 +4c
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| |1/1
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| |8/7 -4c
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| |[[21/16]]
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| |3/2
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| |[[12/7]] -6c
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| |63/32
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| |9/8 +4c
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| |}
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| === MOS Scales ===
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| ==== [[1L 4s|1L4s]] ====
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| {| class="wikitable"
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| !0
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| !1
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| !2
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| !3
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| !4
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| |-
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| |0.0
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| |-
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| |234.67
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| |-
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| |469.35
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| |-
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| |704.02
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| |-
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| |938.69
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| |}
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| L = 261.30 (-4x)
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| s = 234.67 (1x)
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| c = 26.63 (-5x)
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| ==== [[5L 1s|5L1s]] ====
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| {| class="wikitable"
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| !0
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| !1
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| !2
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| !3
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| !4
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| !5
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| |-
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| |0.0
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| |-
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| |234.67
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| |-
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| |469.35
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| |-
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| |704.02
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| |-
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| |938.69
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| |-
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| |1173.37
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| |}
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| L = 234.67 (1x)
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| s = 26.63 (-5x)
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| c = 208.04 (6x)
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|
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| ==== [[5L 6s|5L6s]] ====
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| {| class="wikitable"
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| !0
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| !1
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| !2
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| !3
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| !4
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| !5
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| !6
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| !7
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| !8
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| !9
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| !10
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| |-
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| |0.0
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| |-
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| |208.04
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| |-
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| |234.67
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| |-
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| |442.72
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| |-
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| |469.35
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| |-
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| |677.39
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| |-
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| |704.02
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| |-
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| |912.07
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| |-
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| |938.69
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| |-
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| |1146.74
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| |-
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| |1173.37
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| |}
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| L= 208.04 (6x)
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| s = 26.63 (-5x)
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| c = 181.41 (11x)
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