Valentine: Difference between revisions
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{{Infobox Regtemp | |||
| Title = Valentine | |||
| Subgroups = 2.3.5.7, 2.3.5.7.11 | |||
| Comma basis = [[126/125]], [[1029/1024]] (7-limit); <br /> [[121/120]], [[126/125]], [[176/175]] (11-limit) | |||
| Edo join 1 = 15 | Edo join 2 = 16 | |||
| Generator = 21/20 | Generator tuning = 77.9 | Optimization method = CTE | |||
| MOS scales = ..., [[1L 14s]], [[15L 1s]], [[15L 16s]] | |||
| Mapping = 1; 9 5 -3 | |||
| Pergen = (P8, P5/9) | |||
| Odd limit 1 = 7 | Mistuning 1 = ? | Complexity 1 = 31 | |||
| Odd limit 2 = (11-limit) 21 | Mistuning 2 = ? | Complexity 2 = 46 | |||
}} | |||
'''Valentine''' is a [[regular temperament]] that divides a tempered [[3/2]] into 9 equal [[generator]]s which are small semitones close to 78 cents; a stack of 3 generators is interpreted as [[8/7]] and a stack of 5 generators is interpreted as [[5/4]]. The generator serves as both [[21/20]] and [[25/24]]. It is a member of the [[starling temperaments]], by [[tempering out]] [[126/125]], and the [[gamelismic clan]], by tempering out [[1029/1024]]. It extends naturally to the [[11-limit]] by treating the generator as [[22/21]], tempering out [[121/120]], [[176/175]], [[385/384]], and [[441/440]]. | '''Valentine''' is a [[regular temperament]] that divides a tempered [[3/2]] into 9 equal [[generator]]s which are small semitones close to 78 cents; a stack of 3 generators is interpreted as [[8/7]] and a stack of 5 generators is interpreted as [[5/4]]. The generator serves as both [[21/20]] and [[25/24]]. It is a member of the [[starling temperaments]], by [[tempering out]] [[126/125]], and the [[gamelismic clan]], by tempering out [[1029/1024]]. It extends naturally to the [[11-limit]] by treating the generator as [[22/21]], tempering out [[121/120]], [[176/175]], [[385/384]], and [[441/440]]. | ||
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| 11 | | [[12/11]] | ||
| 75.319 | | 75.319 | ||
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| 15/11 | | [[15/11]] | ||
| 76.707 | | 76.707 | ||
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| 7 | | [[8/7]] | ||
| 77.058 | | 77.058 | ||
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| 7 | | [[10/7]] | ||
| 77.186 | | 77.186 | ||
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| 5/4 | | [[5/4]] | ||
| 77.263 | | 77.263 | ||
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| 11 | | [[18/11]] | ||
| 77.508 | | 77.508 | ||
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| 15/14 | | [[15/14]] | ||
| 77.614 | | 77.614 | ||
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|- | |- | ||
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| 15/8 | | [[15/8]] | ||
| 77.733 | | 77.733 | ||
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|- | |- | ||
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| 7 | | [[12/7]] | ||
| 77.761 | | 77.761 | ||
| 7-odd-limit minimax | | 7-odd-limit minimax | ||
|- | |- | ||
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| 9/7 | | [[9/7]] | ||
| 77.861 | | 77.861 | ||
| 9-odd-limit minimax | | 9-odd-limit minimax | ||
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| 3/2 | | [[3/2]] | ||
| 77.995 | | 77.995 | ||
| 5-odd-limit minimax | | 5-odd-limit minimax | ||
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| 11/7 | | [[11/7]] | ||
| 78.249 | | 78.249 | ||
| 11-odd-limit minimax | | 11-odd-limit minimax | ||
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| 9/5 | | [[9/5]] | ||
| 78.277 | | 78.277 | ||
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| 21/16 | | [[21/16]] | ||
| 78.463 | | 78.463 | ||
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| 11/8 | | [[11/8]] | ||
| 78.760 | | 78.760 | ||
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| 5 | | [[6/5]] | ||
| 78.910 | | 78.910 | ||
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| 21 | | [[22/21]] | ||
| 80.537 | | 80.537 | ||
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| 11/10 | | [[11/10]] | ||
| 82.502 | | 82.502 | ||
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| 21/20 | | [[21/20]] | ||
| 84.867 | | 84.867 | ||
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