User:Overthink/Perfect fifth ranges
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 | |||
|---|---|---|---|---|---|---|
| Mavila | M. | Sub-flattone (4\7-15\26) |
P. | Pythagorean (7\12-24\41) |
Sub-schismic (7\12-38\65) | |
| Flattone (15\26-11\19) |
Schismic (38\65-31\53) | |||||
| 4\7 (685.714 ¢) | Lower meantone (meanpop) (11\19-18\31) |
Middle 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) |
Noble region (47\80-10\17) | ||||