Rodan: Difference between revisions
→Tunings: + basic norm-based tunings |
m Cleanup on infobox |
||
| Line 4: | Line 4: | ||
| Comma basis = [[245/243]], [[1029/1024]] (7-limit); <br> [[245/243]], [[385/384]], [[441/440]] (11-limit) | | Comma basis = [[245/243]], [[1029/1024]] (7-limit); <br> [[245/243]], [[385/384]], [[441/440]] (11-limit) | ||
| Edo join 1 = 41 | Edo join 2 = 46 | | Edo join 1 = 41 | Edo join 2 = 46 | ||
| | | Mapping = 1; 3 17 -1 -13 | ||
| Generators = 8/7 | Generators tuning = 234.4 | Optimization method = CWE | |||
| MOS scales = [[1L 4s]], [[5L 1s]], [[5L 6s]], …, [[5L 36s]], [[41L 5s]] | | MOS scales = [[1L 4s]], [[5L 1s]], [[5L 6s]], …, [[5L 36s]], [[41L 5s]] | ||
| Pergen = (P8, P5/3) | | Pergen = (P8, P5/3) | ||
| Odd limit 1 = 9 | Mistuning 1 = 5.05 | Complexity 1 = 41 | | Odd limit 1 = 9 | Mistuning 1 = 5.05 | Complexity 1 = 41 | ||
| Odd limit 2 = | | Odd limit 2 = 11-limit 21 | Mistuning 2 = 5.34 | Complexity 2 = 87 | ||
}} | }} | ||
'''Rodan''' is one of the notable [[extension]]s of the [[slendric]] [[regular temperament|temperament]], which divides the perfect fifth, [[3/2]], into three equal intervals representing [[8/7]] ([[tempering out]] the gamelisma, [[1029/1024]]), reaching the full [[7-limit]] such that 17 of these [[generators]] [[stacking|stack]] to reach the interval class of the [[5/1|5th harmonic]]. It tempers out [[245/243]], making it a [[sensamagic clan|sensamagic temperament]], so that [[5/3]] is divided into two intervals of [[9/7]]; and it tempers out [[5120/5103]], making it also a [[hemifamity temperaments|hemifamity temperament]], so that [[9/8]] stacks thrice into [[10/7]]. | '''Rodan''' is one of the notable [[extension]]s of the [[slendric]] [[regular temperament|temperament]], which divides the perfect fifth, [[3/2]], into three equal intervals representing [[8/7]] ([[tempering out]] the gamelisma, [[1029/1024]]), reaching the full [[7-limit]] such that 17 of these [[generators]] [[stacking|stack]] to reach the interval class of the [[5/1|5th harmonic]]. It tempers out [[245/243]], making it a [[sensamagic clan|sensamagic temperament]], so that [[5/3]] is divided into two intervals of [[9/7]]; and it tempers out [[5120/5103]], making it also a [[hemifamity temperaments|hemifamity temperament]], so that [[9/8]] stacks thrice into [[10/7]]. | ||