Decimal: Difference between revisions
note tetrads, remove 38-note mos (doesn't always appear), slight rewrite |
Cleanup on infobox |
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| Comma basis = [[25/24]], [[49/48]] | | Comma basis = [[25/24]], [[49/48]] | ||
| Edo join 1 = 4 | Edo join 2 = 6 | | Edo join 1 = 4 | Edo join 2 = 6 | ||
| | | Mapping = 2; 2 1 1 | ||
| Generators = 7/4 | Generators tuning = 951.0 | Optimization method = CWE | |||
| MOS scales = [[4L 2s]], [[4L 6s]], [[10L 4s]] | | MOS scales = [[4L 2s]], [[4L 6s]], [[10L 4s]] | ||
| Pergen = (P8/2, P4/2) | | Pergen = (P8/2, P4/2) | ||
| Odd limit 1 = 7 | Mistuning 1 = 35.3 | Complexity 1 = 6 | | Odd limit 1 = 7 | Mistuning 1 = 35.3 | Complexity 1 = 6 | ||
| Odd limit 2 = | | Odd limit 2 = 7-limit 21 | Mistuning 2 = 35.3 | Complexity 2 = 10 | ||
}} | }} | ||
'''Decimal''' is an [[exotemperament]] in the [[dicot family]], [[semaphoresmic clan]], and [[jubilismic clan]] of [[regular temperament|temperaments]]. It is a [[weak extension|weak]] [[extension]] of [[dicot]], the [[5-limit]] temperament tempering out [[25/24]], splitting the octave in two parts, each representing [[7/5]][[~]][[10/7]]. It is also the prototypical fully [[hemipyth]] temperament, with [[sqrt(2)]] representing 7/5~10/7, [[sqrt(3)]] representing [[7/4]]~[[12/7]], [[sqrt(3/2)]] representng [[5/4]]~[[6/5]], and [[sqrt(4/3)]] representing [[7/6]]~[[8/7]], with a [[pergen]] of (P8/2, P4/2), splitting all Pythagorean intervals in two. | '''Decimal''' is an [[exotemperament]] in the [[dicot family]], [[semaphoresmic clan]], and [[jubilismic clan]] of [[regular temperament|temperaments]]. It is a [[weak extension|weak]] [[extension]] of [[dicot]], the [[5-limit]] temperament tempering out [[25/24]], splitting the octave in two parts, each representing [[7/5]][[~]][[10/7]]. It is also the prototypical fully [[hemipyth]] temperament, with [[sqrt(2)]] representing 7/5~10/7, [[sqrt(3)]] representing [[7/4]]~[[12/7]], [[sqrt(3/2)]] representng [[5/4]]~[[6/5]], and [[sqrt(4/3)]] representing [[7/6]]~[[8/7]], with a [[pergen]] of (P8/2, P4/2), splitting all Pythagorean intervals in two. | ||