Decimal: Difference between revisions

Overthink (talk | contribs)
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
| Generator = 7/4 | Generator tuning = 951.0 | Optimization method = CWE
| 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]]
| Mapping = 2; 2 1 1
| 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 = (7-limit) 21 | Mistuning 2 = 35.3 | Complexity 2 = 10
| 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.