User:Overthink/Perfect fifth ranges: Difference between revisions
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Remove the last column; I can't think of further ranges |
m oops |
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| Line 11: | Line 11: | ||
| Sub-flattone<br>(4\7-15\26) | | Sub-flattone<br>(4\7-15\26) | ||
| rowspan="10" |P. | | rowspan="10" |P. | ||
| rowspan="4" | | | rowspan="4" |Pythagorean<br>(7\12-24\41) | ||
| Sub-schismic<br>(7\12-38\65) | | Sub-schismic<br>(7\12-38\65) | ||
|- | |- | ||
| Line 18: | Line 18: | ||
|- | |- | ||
| colspan="2" | 4\7 (685.714{{C}}) || Lower meantone (meanpop)<br>(11\19-18\31) | | colspan="2" | 4\7 (685.714{{C}}) || Lower meantone (meanpop)<br>(11\19-18\31) | ||
| Pythagorean<br>(31\53-55\94) | | Middle Pythagorean<br>(31\53-55\94) | ||
|- | |- | ||
| rowspan="5" |Diatonic | | rowspan="5" |Diatonic | ||
| Line 27: | Line 27: | ||
| colspan="3" |7\12 (700{{C}}) | | colspan="3" |7\12 (700{{C}}) | ||
| rowspan="3" |Argent<br>(24\41-17\29) | | rowspan="3" |Argent<br>(24\41-17\29) | ||
| rowspan="3" |IDK about<br> | | rowspan="3" |IDK about subranges<br>here, but many useful<br>edos such as 99edo<br> and 140edo | ||
|- | |- | ||
| colspan="3" | Near-Pythagorean | | colspan="3" | Near-Pythagorean | ||
Revision as of 01:34, 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 | |||
|---|---|---|---|---|---|---|
| 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) | ||||