Diaschismic: Difference between revisions
m →As a detemperament of 12et: Avoid overlap |
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| Comma basis = [[2048/2025]] (5-limit);<br>[[126/125]], [[2048/2025]] (7-limit); <br>[[126/125]], [[136/135]], [[176/175]], <br>[[196/195]], [[256/255]] (17-limit) | | Comma basis = [[2048/2025]] (5-limit);<br>[[126/125]], [[2048/2025]] (7-limit); <br>[[126/125]], [[136/135]], [[176/175]], <br>[[196/195]], [[256/255]] (17-limit) | ||
| Edo join 1 = 46 | Edo join 2 = 58 | | Edo join 1 = 46 | Edo join 2 = 58 | ||
| | | Generators = 3/2 | Generators tuning = 703.9 | Optimization method = CWE | ||
| MOS scales = [[2L 8s]], [[10L 2s]], [[12L 10s]] | | MOS scales = [[2L 8s]], [[10L 2s]], [[12L 10s]] | ||
| Mapping = 2; 1 -2 -8 -12 -15 1 | | Mapping = 2; 1 -2 -8 -12 -15 1 | ||
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| Odd limit 2 = 17-limit 21 | Mistuning 2 = ??? | Complexity 2 = 46 | | Odd limit 2 = 17-limit 21 | Mistuning 2 = ??? | Complexity 2 = 46 | ||
}} | }} | ||
'''Diaschismic''', sometimes known as ''srutal'' in the [[5-limit]], is a half-octave [[regular temperament|temperament]] [[generator|generated]] by a [[3/2|perfect fifth]] or that minus a half-octave [[period]], which is a semitone representing [[16/15]]. Two of these semitones give a whole tone of [[9/8]], so the diaschisma, [[2048/2025]], is [[tempering out|tempered out]], and we also have a whole tone plus a period represent [[8/5]]. | '''Diaschismic''', sometimes known as ''srutal'' in the [[5-limit]], is a half-octave [[regular temperament|temperament]] [[generator|generated]] by a [[3/2|perfect fifth]] or that minus a half-octave [[period]], which is a semitone representing [[16/15]]. Two of these semitones give a whole tone of [[9/8]], so the diaschisma, [[2048/2025]], is [[tempering out|tempered out]], and we also have a whole tone plus a period represent [[8/5]]. | ||