User:Overthink/Perfect fifth ranges: Difference between revisions
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A table of the ranges of the perfect fifth. | 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. | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
| Line 5: | Line 5: | ||
! Simple MOS | ! Simple MOS | ||
pattern ranges | pattern ranges | ||
! Diatonic Range !! colspan="2" | Meantone/Superpyth !! colspan=" | ! Diatonic Range !! colspan="2" | Meantone/Superpyth !! colspan="3" | Near-pyth !! Pyth | ||
|- | |- | ||
| colspan="2" rowspan="2" |Mavila | | colspan="2" rowspan="2" |Mavila | ||
| rowspan="4" |M. | | rowspan="4" |M. | ||
|Sub-flattone<br>(4\7-15\26) | | Sub-flattone<br>(4\7-15\26) | ||
| rowspan="10" |P. | | rowspan="10" |P. | ||
| rowspan=" | | rowspan="4" |Pythagorean<br>(7\12-24\41) | ||
| | | Sub-schismic<br>(7\12-38\65) | ||
| | | rowspan="10" |UNDER CONSTRUCTION | ||
|- | |- | ||
| Flattone<br>(15\26-11\19) | | Flattone<br>(15\26-11\19) | ||
| | | Schismic<br>(38\65-31\53) | ||
|- | |- | ||
| 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) | ||
|- | |- | ||
| rowspan="5" |Diatonic | | rowspan="5" |Diatonic | ||
|Meantone -> | | Meantone -><br>(4\7-7\12) | ||
|Upper meantone (huygens)<br>(18\31-7\12) | | Upper meantone (huygens)<br>(18\31-7\12) | ||
| | | Garischismic<br>(55\94-24\41) | ||
|- | |- | ||
| colspan="3" |7\12 | | colspan="3" |7\12 (700{{C}}) | ||
| | | rowspan="3" |Argent<br>(24\41-17\29) | ||
| | | rowspan="3" |IDK about<br>subranges here,<br>but many useful<br>EDOs such as<br>99edo and 140edo | ||
|- | |- | ||
| colspan="3" | Near-Pythagorean | | colspan="3" | Near-Pythagorean | ||
|- | |- | ||
| colspan="3" |10\17 | | colspan="3" |10\17 (705.882{{C}}) | ||
|- | |- | ||
|Superpyth -> | | Superpyth -><br>(10\17-3\5) | ||
| 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<br>(17\29-10\17) | | rowspan="3" |Parapyth/Gentle<br>(17\29-10\17) | ||
| | | 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 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) | ||
|} | |} | ||
Revision as of 00:12, 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) | |||||