User:Overthink/Perfect fifth ranges: Difference between revisions
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expand near-pyth |
m capitalization |
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| Line 37: | Line 37: | ||
| rowspan="3" |S. | | rowspan="3" |S. | ||
| Shrub region (quasisupra)<br>(10\17-13\22) | | Shrub region (quasisupra)<br>(10\17-13\22) | ||
| rowspan="3" |Parapyth/ | | rowspan="3" |Parapyth/gentle<br>(17\29-10\17) | ||
| Lower | | Lower gentle<br>(17\29-27\46) | ||
|- | |- | ||
| colspan="2" | 3\5 (720{{C}}) || Superpyth<br>(13\22-16\27) | | colspan="2" | 3\5 (720{{C}}) || Superpyth<br>(13\22-16\27) | ||
| Upper | | Upper gentle<br>(27\46-47\80) | ||
|- | |- | ||
| colspan="2" | Oneiro || Quasiultra/ultrapyth+<br>(16\27-3\5) | | colspan="2" | Oneiro || Quasiultra/ultrapyth+<br>(16\27-3\5) | ||
| ???<br>(47\80-10\17) | | ???<br>(47\80-10\17) | ||
|} | |} | ||
Revision as of 00:14, 23 December 2025
A table of the ranges of the perfect fifth. Note that smaller EDOs within a precision may support temperaments corresponding to a range they are not a part of, such as 5edo technically being meantone or 53edo tempering out the garischisma.
| Simple MOS
pattern ranges |
Diatonic Range | Meantone/Superpyth | Near-pyth | Pyth | |||
|---|---|---|---|---|---|---|---|
| Mavila | M. | Sub-flattone (4\7-15\26) |
P. | Pythagorean (7\12-24\41) |
Sub-schismic (7\12-38\65) |
UNDER CONSTRUCTION | |
| Flattone (15\26-11\19) |
Schismic (38\65-31\53) | ||||||
| 4\7 (685.714 ¢) | Lower meantone (meanpop) (11\19-18\31) |
Pythagorean (31\53-55\94) | |||||
| Diatonic | Meantone -> (4\7-7\12) |
Upper meantone (huygens) (18\31-7\12) |
Garischismic (55\94-24\41) | ||||
| 7\12 (700 ¢) | Argent (24\41-17\29) |
IDK about subranges here, but many useful EDOs such as 99edo and 140edo | |||||
| Near-Pythagorean | |||||||
| 10\17 (705.882 ¢) | |||||||
| Superpyth -> (10\17-3\5) |
S. | Shrub region (quasisupra) (10\17-13\22) |
Parapyth/gentle (17\29-10\17) |
Lower gentle (17\29-27\46) | |||
| 3\5 (720 ¢) | Superpyth (13\22-16\27) |
Upper gentle (27\46-47\80) | |||||
| Oneiro | Quasiultra/ultrapyth+ (16\27-3\5) |
??? (47\80-10\17) | |||||