Submerged: Difference between revisions
Review |
+ infobox |
||
| (3 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox regtemp | |||
| Title = Submerged | |||
| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13 | |||
| Comma basis = [[525/512]], [[3125/3087]] (7-limit); <br>[[121/120]], [[441/440]], [[525/512]] (11-limit); <br>[[65/64]], [[105/104]], [[121/120]], [[441/440]]<br>(13-limit) | |||
| Edo join 1 = 16 | Edo join 2 = 29 | |||
| Mapping = 1; 11 -1 -9 5 1 | |||
| Generators = 8/5 | Generators tuning = 827.0 | Optimization method = CWE | |||
| MOS scales = [[3L 7s]], [[3L 10s]], [[13L 3s]] | |||
| Odd limit 1 = 9 | Mistuning 1 = 13.2 | Complexity 1 = 45 | |||
| Odd limit 2 = 13 | Mistuning 2 = 14.7 | Complexity 2 = 45 | |||
}} | |||
'''Submerged''' is a [[regular temperament|temperament]] [[periods and generators|generated]] by a sharply tuned minor sixth (or its [[octave complement]], a flatly tuned major third, adopted by this article for a comparison with [[magic]]), tempering out the [[submerged comma]] in the [[5-limit]]. The major third is slightly flat of magic's major third, which itself is slightly flat of a just 5/4, making submerged's generator arguably a [[submajor and supraminor|submajor]] third. The comma's [[monzo]] is {{monzo| -27 1 11 }}, which implies that eleven 8/5's minus seven octaves stack to make a [[3/2]], thus making its [[ploidacot]] zeta-hendecacot. | '''Submerged''' is a [[regular temperament|temperament]] [[periods and generators|generated]] by a sharply tuned minor sixth (or its [[octave complement]], a flatly tuned major third, adopted by this article for a comparison with [[magic]]), tempering out the [[submerged comma]] in the [[5-limit]]. The major third is slightly flat of magic's major third, which itself is slightly flat of a just 5/4, making submerged's generator arguably a [[submajor and supraminor|submajor]] third. The comma's [[monzo]] is {{monzo| -27 1 11 }}, which implies that eleven 8/5's minus seven octaves stack to make a [[3/2]], thus making its [[ploidacot]] zeta-hendecacot. | ||
| Line 28: | Line 39: | ||
| 2 | | 2 | ||
| 745.2 | | 745.2 | ||
| [[ | | [[25/16]], [[32/21]] | ||
|- | |- | ||
| 3 | | 3 | ||
| 1117.8 | | 1117.8 | ||
| [[40/21 | | [[40/21]] | ||
|- | |- | ||
| 4 | | 4 | ||
| 290.4 | | 290.4 | ||
| [[ | | [[25/21]] | ||
|- | |- | ||
| 5 | | 5 | ||
| 663.0 | | 663.0 | ||
| '''[[16/11]]''' | | '''[[16/11]]''' | ||
|- | |- | ||
| 6 | | 6 | ||
| 1035.6 | | 1035.6 | ||
| [[20/11 | | [[20/11]] | ||
|- | |- | ||
| 7 | | 7 | ||
| 208.2 | | 208.2 | ||
| [[25 | | [[28/25]] | ||
|- | |- | ||
| 8 | | 8 | ||
| 580.8 | | 580.8 | ||
| [[7/5 | | [[7/5]] | ||
|- | |- | ||
| 9 | | 9 | ||
| 953.4 | | 953.4 | ||
| | | '''[[7/4]]''' | ||
|- | |- | ||
| 10 | | 10 | ||
| 126.0 | | 126.0 | ||
| '''[[16/15]]''' | | '''[[16/15]]''' | ||
|- | |- | ||
| 11 | | 11 | ||
| 498.6 | | 498.6 | ||
| '''[[4/3]]''' | | '''[[4/3]]''' | ||
|- | |- | ||
| 12 | | 12 | ||
| 871.2 | | 871.2 | ||
| | | [[5/3]] | ||
|- | |- | ||
| 13 | | 13 | ||
| 43.8 | | 43.8 | ||
| | | [[25/24]] | ||
|} | |} | ||
<nowiki/>* In 5-limit CTE tuning | <nowiki/>* In 5-limit CTE tuning | ||
| Line 103: | Line 114: | ||
| 1/10-comma | | 1/10-comma | ||
|- | |- | ||
| [[29edo|8\29]] | | '''[[29edo|8\29]]''' | ||
| | | | ||
| '''372.414''' | |||
| '''Lower bound of 7-odd-limit diamond monotone''' | |||
|- | |- | ||
| | | | ||
| Line 116: | Line 127: | ||
| | | | ||
| 373.333 | | 373.333 | ||
| | | 45ef val | ||
|- | |- | ||
| | | | ||
| Line 128: | Line 139: | ||
| 1/13-comma | | 1/13-comma | ||
|- | |- | ||
| [[16edo|5\16]] | | '''[[16edo|5\16]]''' | ||
| | | | ||
| 375.000 | | '''375.000''' | ||
| | | '''Upper bound of 7-odd-limit diamond monotone''', major thirds slightly sharper than this fall under [[magic]] | ||
|} | |} | ||