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| Line 439: |
Line 439: |
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| {{Optimal ET sequence|legend=1| 5, 13c, 18, 23, 41, 64, 87, 151 }} | | {{Optimal ET sequence|legend=1| 5, 13c, 18, 23, 41, 64, 87, 151 }} |
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| == 2.15.55 subgroup ==
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| === Spog ===
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| This temperament produces [[Slendro_clan#Superpelog|superpelog]]-like [[5L 4s|semiquartal]] scales while being more accurate ([[Subgroup temperaments#2.15.189.55.325.725.279|see]] rational approximations to their intervals).
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| [[Subgroup]]: 2.15.55
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| [[Comma list]]: [[100663296/100656875]]
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| {{Mapping|legend=2| 1 0 5 | 0 5 1 }}
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| [[Optimal tuning]] (subgroup [[CTE]]): ~55/32 = 937.655
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| {{Optimal ET sequence|legend=1|5, 9, 23, 32, 151, 183, 215, 247, 956, 1203, 1450, 3147, 4597 }}
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| ==== 2.15.55.325 ====
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| [[Subgroup]]: 2.15.55.325
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| [[Comma list]]: [[4225/4224]], [[6656/6655]]
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| {{Mapping|legend=2| 1 0 5 6 | 0 5 1 3 }}
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| [[Optimal tuning]] (subgroup [[CTE]]): ~55/32 = 937.647
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| [[Support]]ing [[ET]]s: 5, 9, 13[-15], 14, 23, 32, 37, 41, 50, 55, 64, 73, 78, 87, 96, 101, 105, 119, 128, 151, 183, 206, 311
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| ==== 2.15.189.55.325 ====
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| Related temperament: [[Lehmerismic_temperaments#Lux|lux]]
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| [[Subgroup]]: 2.15.189.55.325
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| [[Comma list]]: [[2080/2079]], [[3025/3024]], [[4096/4095]]
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| {{Mapping|legend=2| 1 0 6 5 6 | 0 5 2 1 3 }}
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| [[Optimal tuning]] (subgroup [[CTE]]): ~55/32 = 937.677
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| [[Support]]ing [[ET]]s: 5, 9, 14, 23, 32, 37, 41, 50, 55, 64, 73, 78, 87, 96, 101, 105, 119, 128, 151, 183, 206, 311
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| ==== 2.15.189.55.325.725 ====
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| [[Subgroup]]: 2.15.189.55.325.725
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| [[Comma list]]: [[1625/1624]], [[2080/2079]], [[3025/3024]], [[4096/4095]]
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| {{Mapping|legend=2| 1 0 6 5 6 -3 | 0 5 2 1 3 16 }}
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| [[Optimal tuning]] (subgroup [[CTE]]): ~55/32 = 937.649
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| [[Support]]ing [[ET]]s: 9[-725], 14[+725], 23, 32, 41[-725], 55, 73[-725], 87, 105[-725], 119, 142[+725], 151, 183, 206[+725], 311
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| ==== 2.15.189.55.325.725.279 ====
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| Here are rational approximations to the intervals of the semiquartal scale.
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| Sharp: 12/11, 25/21, 33/26, 18/13, 31/21 ~ 65/44 ~ 96/65, 50/31 ~ 29/18, 55/32, 15/8.
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| Flat: 16/15, 64/55, 31/25 ~ 36/29, 42/31 ~ 65/48 ~ 88/65, 13/9, 52/33, 42/25, 11/6.
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| [[Subgroup]]: 2.15.189.55.325.725.279
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| [[Comma list]]: [[1625/1624]], [[2016/2015]], [[2080/2079]], [[3025/3024]], [[4096/4095]]
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| {{Mapping|legend=2| 1 0 6 5 6 -3 5 | 0 5 2 1 3 16 4 }}
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| [[Optimal tuning]] (subgroup [[CTE]]): ~55/32 = 937.638
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| [[Support]]ing [[ET]]s: 9[-725], 14[+725], 23, 32, 41[-725], 55, 73[-725], 87, 105[-725], 119, 151, 183, 206[+725], 311
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| == 4.3.5 subgroup == | | == 4.3.5 subgroup == |