|
|
| Line 33: |
Line 33: |
|
| |
|
| {{Val list|legend=1| 32, 43, 75, 118, 429, 547, 665, 783, 901, 1684 }} | | {{Val list|legend=1| 32, 43, 75, 118, 429, 547, 665, 783, 901, 1684 }} |
|
| |
| == Antitonic (2 & 4p) ==
| |
| This temperament is characterized by tempering out [[9/8]], and has been termed a "troll temperament". It is named on account of 4/3 and 3/2 both being represented by the 600 cent half octave, which serves as an Antitonic. Surprisingly, it has extensions all the way up to the 11-limit, as confirmed by the data from [http://x31eq.com/cgi-bin/rt.cgi?limit=11&ets=2_4p&tuning=po x31eq]. The original 5-limit is basically the 3-limit music of [[2edo]] with the addition of harmonic 5 represented by an independent generator.
| |
|
| |
| Comma list: 9/8
| |
|
| |
| POTE generator:
| |
|
| |
| Mapping:
| |
|
| |
| Mapping generators:
| |
|
| |
| Vals:
| |
|
| |
| Badness:
| |
|
| |
| === 7-limit ===
| |
| Comma list: 9/8, 21/20
| |
|
| |
| POTE generator:
| |
|
| |
| Mapping:
| |
|
| |
| Mapping generators:
| |
|
| |
| Vals:
| |
|
| |
| Badness:
| |
|
| |
| === 11-limit ===
| |
| Comma list: 9/8, 21/20, 12/11
| |
|
| |
| POTE generator:
| |
|
| |
| Mapping:
| |
|
| |
| Mapping generators:
| |
|
| |
| Vals:
| |
|
| |
| Badness:
| |
|
| |
|
| [[Category:Temperament]] | | [[Category:Temperament]] |