User:Overthink/Perfect fifth ranges: Difference between revisions
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I made a name for this region |
Remove the last column; I can't think of further ranges |
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| Line 5: | Line 5: | ||
! Simple MOS | ! Simple MOS | ||
pattern ranges | pattern ranges | ||
! Diatonic Range !! colspan="2" | Meantone/Superpyth !! colspan="3" | Near-pyth | ! Diatonic Range !! colspan="2" | Meantone/Superpyth !! colspan="3" | Near-pyth | ||
|- | |- | ||
| colspan="2" rowspan="2" |Mavila | | colspan="2" rowspan="2" |Mavila | ||
| 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" |Pythagorean<br>(7\12-24\41) | | rowspan="4" |Middle<br>Pythagorean<br>(7\12-24\41) | ||
| Sub-schismic<br>(7\12-38\65) | | Sub-schismic<br>(7\12-38\65) | ||
|- | |- | ||
| Flattone<br>(15\26-11\19) | | Flattone<br>(15\26-11\19) | ||
| Line 44: | Line 43: | ||
|- | |- | ||
| colspan="2" | Oneiro || Quasiultra/ultrapyth+<br>(16\27-3\5) | | colspan="2" | Oneiro || Quasiultra/ultrapyth+<br>(16\27-3\5) | ||
| | | Noble region<br>(47\80-10\17) | ||
|} | |} | ||
Revision as of 01:32, 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. | Middle 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) |
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) | ||||