Xenial: Difference between revisions
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| Mapping = 1; -9 -17 -33 22 -21 26 27 -3 | | Mapping = 1; -9 -17 -33 22 -21 26 27 -3 | ||
| Generators = 10/9 | Generators tuning = 188.8 | Optimization method = CWE | | Generators = 10/9 | Generators tuning = 188.8 | Optimization method = CWE | ||
| MOS scales = [[6L 1s]], [[6L 7s]], [[13L 6s]], [[19L 13s]], [[19L 32s]] | | MOS scales = [[6L 1s]], [[6L 7s]], [[13L 6s]], <br>[[19L 13s]], [[19L 32s]], [[19L 51s]] | ||
| Pergen = (P8, P11/9) | | Pergen = (P8, P11/9) | ||
| Odd limit 1 = 7 | Mistuning 1 = 4.6 | Complexity 1 = 51 | | Odd limit 1 = 7 | Mistuning 1 = 4.6 | Complexity 1 = 51 | ||
| Odd limit 2 = 9 | Mistuning 2 = 6.3 | Complexity 2 = 51 | |||
| Odd limit 3 = 17 | Mistuning 3 = 8.9 | Complexity 3 = 70 | |||
| Odd limit 4 = 23 | Mistuning 4 = 9.0 | Complexity 4 = 70 | |||
}} | }} | ||
'''Xenial''' is a [[rank-2]] [[regular temperament|temperament]] that is [[generator|generated]] by a sharpened minor whole tone of [[~]][[10/9]], so that nine generators reach [[4/3]], 17 reach [[8/5]], 21 reach [[16/13]] and 33 reach [[8/7]] with octave reduction. It is also generated by dividing [[11/1|11th harmonic]] into 22 equal parts, [[17/1|17th harmonic]] into 26 equal parts, or [[19/1|19th harmonic]] into 27 equal parts. | '''Xenial''' is a [[rank-2]] [[regular temperament|temperament]] that is [[generator|generated]] by a sharpened minor whole tone of [[~]][[10/9]], so that nine generators reach [[4/3]], 17 reach [[8/5]], 21 reach [[16/13]] and 33 reach [[8/7]] with octave reduction. It is also generated by dividing [[11/1|11th harmonic]] into 22 equal parts, [[17/1|17th harmonic]] into 26 equal parts, or [[19/1|19th harmonic]] into 27 equal parts. | ||
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| 13/11 | | 13/11 | ||
| 188.623 | | 188.623 | ||
| | | 13-odd-limit minimax | ||
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| 3/2 | | 3/2 | ||
| 188.672 | | 188.672 | ||
| | | 9, 15 and 17-odd-limit minimax | ||
|- | |- | ||
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| 11/9 | | 11/9 | ||
| 188.685 | | 188.685 | ||
| | | 11-odd-limit minimax | ||
|- | |- | ||
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| 19/13 | | 19/13 | ||
| 188.687 | | 188.687 | ||
| | | 19, 21 and 23-odd-limit minimax | ||
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| 7/6 | | 7/6 | ||
| 188.880 | | 188.880 | ||
| | | 7-odd-limit minimax | ||
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| 5/4 | | 5/4 | ||
| 189.040 | | 189.040 | ||
| | | 5-odd-limit minimax | ||
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