List of interval regions: Difference between revisions
From Xenharmonic Reference
Created page with "This is a list of interval regions within the octave according to an altered version of Margo Schulter's categorization scheme. [WIP] {| class="wikitable" |+ ! colspan="2" |Region name !Range !Important just intervals !Temperaments !MOSes |- | colspan="2" |Unison |0c (singleton) |1/1 | - | - |- | colspan="2" |Comma | | | | |- | colspan="2" |Diesis | | | | |- | rowspan="3" |Minor second |Subminor | | | | |- |Farminor | | | | |- |Nearminor | | | | |- | rowspan="3" |Neutra..." |
No edit summary |
||
| Line 8: | Line 8: | ||
!Important just intervals | !Important just intervals | ||
!Temperaments | !Temperaments | ||
!MOSes | !MOSes (octave-periodic) | ||
!Notes | |||
|- | |- | ||
| colspan="2" |Unison | | colspan="2" |Unison | ||
| Line 15: | Line 16: | ||
| - | | - | ||
| - | | - | ||
| | |||
|- | |- | ||
| colspan="2" |Comma | | colspan="2" |Comma | ||
|0-35c | |||
| | | | ||
| | | | ||
| Line 23: | Line 26: | ||
|- | |- | ||
| colspan="2" |Diesis | | colspan="2" |Diesis | ||
|30-60c | |||
| | | | ||
| | | | ||
| Line 30: | Line 34: | ||
| rowspan="3" |Minor second | | rowspan="3" |Minor second | ||
|Subminor | |Subminor | ||
|55-80c | |||
| | | | ||
| | | | ||
| Line 36: | Line 41: | ||
|- | |- | ||
|Farminor | |Farminor | ||
|75-100c | |||
| | | | ||
| | | | ||
| Line 42: | Line 48: | ||
|- | |- | ||
|Nearminor | |Nearminor | ||
|95-125c | |||
| | | | ||
| | |Diaschismic (1/2-octave) | ||
| | | | ||
| | | | ||
| Line 49: | Line 56: | ||
| rowspan="3" |Neutral second | | rowspan="3" |Neutral second | ||
|Supraminor | |Supraminor | ||
|120-140c | |||
| | | | ||
| | |Negri | ||
| | | | ||
| | | | ||
|- | |- | ||
|Neutral | |Neutral | ||
|135-165c | |||
| | | | ||
| | | | ||
| Line 61: | Line 70: | ||
|- | |- | ||
|Submajor | |Submajor | ||
|160-180c | |||
| | | | ||
|Porcupine | |||
| | | | ||
| | |"Equable heptatonic" region is around here | ||
|- | |- | ||
| rowspan="3" |Major second | | rowspan="3" |Major second | ||
|Nearmajor | |Nearmajor | ||
|175-205c | |||
| | | | ||
| | |Tetracot | ||
| | | | ||
| | | | ||
|- | |- | ||
|Farmajor | |Farmajor | ||
|200-225c | |||
| | | | ||
| | |Didacus | ||
| | | | ||
| | | | ||
|- | |- | ||
|Supermajor | |Supermajor | ||
|220-245c | |||
| | | | ||
| | |Slendric | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="2" |Interordinal 2nd-3rd | | colspan="2" |Interordinal 2nd-3rd | ||
|240-260c | |||
| | | | ||
| | |Semaphore | ||
| | | | ||
| | | | ||
| Line 93: | Line 107: | ||
| rowspan="3" |Minor third | | rowspan="3" |Minor third | ||
|Subminor | |Subminor | ||
|255-280c | |||
| | | | ||
| | |Orwell | ||
| | | | ||
| | | | ||
|- | |- | ||
|Farminor | |Farminor | ||
|275-300c | |||
| | | | ||
| | | | ||
| Line 105: | Line 121: | ||
|- | |- | ||
|Nearminor | |Nearminor | ||
|295-325c | |||
| | | | ||
| | |Kleismic, Orgone | ||
| | | | ||
| | | | ||
| Line 112: | Line 129: | ||
| rowspan="3" |Neutral third | | rowspan="3" |Neutral third | ||
|Supraminor | |Supraminor | ||
|320-340c | |||
| | | | ||
| | |Orgone, Amity, Sixix, Dicot | ||
| | | | ||
| | | | ||
|- | |- | ||
|Neutral | |Neutral | ||
| | |335-365c | ||
| | |11/9, 16/13 | ||
|Rastmic | |||
| | | | ||
| | | | ||
|- | |- | ||
|Submajor | |Submajor | ||
|360-380c | |||
| | | | ||
| | |Wilsormic, Dicot | ||
| | | | ||
| | | | ||
| Line 131: | Line 151: | ||
| rowspan="3" |Major third | | rowspan="3" |Major third | ||
|Nearmajor | |Nearmajor | ||
| | |375-405c | ||
| | |5/4 | ||
|Magic, Wurschmidt | |||
| | | | ||
| | | | ||
|- | |- | ||
|Farmajor | |Farmajor | ||
|400-425c | |||
|14/11, 81/64 | |||
| | | | ||
| | |3L 5s | ||
| | | | ||
|- | |- | ||
|Supermajor | |Supermajor | ||
| | |420-445c | ||
| | |9/7 | ||
| | |Squares, Sensi | ||
|3L 5s | |||
| | | | ||
|- | |- | ||
| colspan="2" |Interordinal 3rd-4th | | colspan="2" |Interordinal 3rd-4th | ||
| | |440-470c | ||
| | |13/10 | ||
| | |Sensi | ||
|5L 3s, 3L 5s | |||
| | | | ||
|- | |- | ||
| rowspan="3" |Fourth | | rowspan="3" |Fourth | ||
|Small | |Small | ||
|465-490c | |||
| | | | ||
| | |Trienstonian | ||
| | |5L 3s | ||
| | | | ||
|- | |- | ||
|Medium | |Medium | ||
| | |485-510c | ||
| | |4/3 | ||
| | |Meantone, Archy, Diaschismic (1/2-octave) | ||
|5L 2s | |||
| | | | ||
|- | |- | ||
|Large | |Large | ||
| | |505-530c | ||
| | |27/20 | ||
| | |Mabilic, Deeptone, Gravity | ||
|2L 5s, 7L 2s | |||
| | | | ||
|- | |- | ||
| colspan="2" | | | colspan="2" |Semiaugmented fourth | ||
|525-565c | |||
| | | | ||
| | | | ||
| Line 181: | Line 209: | ||
| rowspan="3" |Tritone | | rowspan="3" |Tritone | ||
|Small | |Small | ||
|560-585c | |||
| | | | ||
| | | | ||
| Line 187: | Line 216: | ||
|- | |- | ||
|Medium | |Medium | ||
|580-620c | |||
| | | | ||
| | | | ||
| Line 193: | Line 223: | ||
|- | |- | ||
|Large | |Large | ||
|615-640c | |||
| | | | ||
| | | | ||
| Line 198: | Line 229: | ||
| | | | ||
|- | |- | ||
| colspan="2" | | | colspan="2" |Semidiminished fifth | ||
|635-675c | |||
| | | | ||
| | | | ||
| Line 206: | Line 238: | ||
| rowspan="3" |Fifth | | rowspan="3" |Fifth | ||
|Small | |Small | ||
| | |670-695c | ||
| | |40/27 | ||
| | |Mabilic, Deeptone, Gravity | ||
|2L 5s, 7L 2s | |||
| | | | ||
|- | |- | ||
|Medium | |Medium | ||
| | |690-715c | ||
| | |3/2 | ||
| | |Meantone, Archy, Diaschismic (1/2-octave) | ||
|5L 2s | |||
| | | | ||
|- | |- | ||
|Large | |Large | ||
|710-735c | |||
| | | | ||
| | |Trienstonian | ||
| | |5L 3s | ||
| | | | ||
|- | |- | ||
| colspan="2" |Interordinal 5th-6th | | colspan="2" |Interordinal 5th-6th | ||
|730-760c | |||
| | | | ||
| | |Sensi | ||
| | |5L 3s, 3L 5s | ||
| | | | ||
|- | |- | ||
| rowspan="3" |Minor sixth | | rowspan="3" |Minor sixth | ||
|Subminor | |Subminor | ||
|755-780c | |||
| | | | ||
| | |Squares, Sensi | ||
| | |3L 5s | ||
| | | | ||
|- | |- | ||
|Farminor | |Farminor | ||
|775-800c | |||
| | | | ||
| | | | ||
| | |3L 5s | ||
| | | | ||
|- | |- | ||
|Nearminor | |Nearminor | ||
|795-825c | |||
| | | | ||
| | |Magic, Wurschmidt | ||
| | | | ||
| | | | ||
| Line 250: | Line 289: | ||
| rowspan="3" |Neutral sixth | | rowspan="3" |Neutral sixth | ||
|Supraminor | |Supraminor | ||
|820-840c | |||
| | | | ||
| | |Wilsormic, Dicot | ||
| | | | ||
| | | | ||
|- | |- | ||
|Neutral | |Neutral | ||
|835-865c | |||
| | | | ||
| | |Rastmic | ||
| | | | ||
| | | | ||
|- | |- | ||
|Submajor | |Submajor | ||
|860-880c | |||
| | | | ||
| | |Orgone, Amity, Sixix, Dicot | ||
| | | | ||
| | | | ||
| Line 269: | Line 311: | ||
| rowspan="3" |Major sixth | | rowspan="3" |Major sixth | ||
|Nearmajor | |Nearmajor | ||
|875-905c | |||
| | | | ||
| | |Kleismic, Orgone | ||
| | | | ||
| | | | ||
|- | |- | ||
|Farmajor | |Farmajor | ||
|900-925c | |||
| | | | ||
| | | | ||
| Line 281: | Line 325: | ||
|- | |- | ||
|Supermajor | |Supermajor | ||
|920-945c | |||
| | | | ||
| | |Orwell | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="2" |Interordinal 6th-7th | | colspan="2" |Interordinal 6th-7th | ||
|940-960c | |||
| | | | ||
| | |Semaphore | ||
| | | | ||
| | | | ||
| Line 294: | Line 340: | ||
| rowspan="3" |Minor seventh | | rowspan="3" |Minor seventh | ||
|Subminor | |Subminor | ||
|955-980c | |||
| | | | ||
| | |Slendric | ||
| | | | ||
| | | | ||
|- | |- | ||
|Farminor | |Farminor | ||
|975-1000c | |||
| | | | ||
| | |Didacus | ||
| | | | ||
| | | | ||
|- | |- | ||
|Nearminor | |Nearminor | ||
|995-1025c | |||
| | | | ||
| | |Tetracot | ||
| | | | ||
| | | | ||
| Line 313: | Line 362: | ||
| rowspan="3" |Neutral seventh | | rowspan="3" |Neutral seventh | ||
|Supraminor | |Supraminor | ||
|1020-1040c | |||
| | | | ||
| | |Porcupine | ||
| | | | ||
| | | | ||
|- | |- | ||
|Neutral | |Neutral | ||
|1035-1065c | |||
| | | | ||
| | | | ||
| Line 325: | Line 376: | ||
|- | |- | ||
|Submajor | |Submajor | ||
|1060-1080c | |||
| | | | ||
| | |Negri | ||
| | | | ||
| | | | ||
| Line 332: | Line 384: | ||
| rowspan="3" |Major seventh | | rowspan="3" |Major seventh | ||
|Nearmajor | |Nearmajor | ||
|1075-1105c | |||
| | | | ||
| | |Diaschismic (1/2-octave) | ||
| | | | ||
| | | | ||
|- | |- | ||
|Farmajor | |Farmajor | ||
|1100-1125c | |||
| | | | ||
| | | | ||
| Line 344: | Line 398: | ||
|- | |- | ||
|Supermajor | |Supermajor | ||
|1120-1145c | |||
| | | | ||
| | | | ||
| Line 350: | Line 405: | ||
|- | |- | ||
| colspan="2" |Octave-diesis | | colspan="2" |Octave-diesis | ||
|1140-1170c | |||
| | | | ||
| | | | ||
| Line 356: | Line 412: | ||
|- | |- | ||
| colspan="2" |Octave-comma | | colspan="2" |Octave-comma | ||
|1165-1197c | |||
| | | | ||
| | | | ||
| Line 362: | Line 419: | ||
|- | |- | ||
| colspan="2" |Octave | | colspan="2" |Octave | ||
|1197-1203c | |||
| | | | ||
| | | | ||
Latest revision as of 18:57, 12 January 2026
This is a list of interval regions within the octave according to an altered version of Margo Schulter's categorization scheme.
[WIP]
| Region name | Range | Important just intervals | Temperaments | MOSes (octave-periodic) | Notes | |
|---|---|---|---|---|---|---|
| Unison | 0c (singleton) | 1/1 | - | - | ||
| Comma | 0-35c | |||||
| Diesis | 30-60c | |||||
| Minor second | Subminor | 55-80c | ||||
| Farminor | 75-100c | |||||
| Nearminor | 95-125c | Diaschismic (1/2-octave) | ||||
| Neutral second | Supraminor | 120-140c | Negri | |||
| Neutral | 135-165c | |||||
| Submajor | 160-180c | Porcupine | "Equable heptatonic" region is around here | |||
| Major second | Nearmajor | 175-205c | Tetracot | |||
| Farmajor | 200-225c | Didacus | ||||
| Supermajor | 220-245c | Slendric | ||||
| Interordinal 2nd-3rd | 240-260c | Semaphore | ||||
| Minor third | Subminor | 255-280c | Orwell | |||
| Farminor | 275-300c | |||||
| Nearminor | 295-325c | Kleismic, Orgone | ||||
| Neutral third | Supraminor | 320-340c | Orgone, Amity, Sixix, Dicot | |||
| Neutral | 335-365c | 11/9, 16/13 | Rastmic | |||
| Submajor | 360-380c | Wilsormic, Dicot | ||||
| Major third | Nearmajor | 375-405c | 5/4 | Magic, Wurschmidt | ||
| Farmajor | 400-425c | 14/11, 81/64 | 3L 5s | |||
| Supermajor | 420-445c | 9/7 | Squares, Sensi | 3L 5s | ||
| Interordinal 3rd-4th | 440-470c | 13/10 | Sensi | 5L 3s, 3L 5s | ||
| Fourth | Small | 465-490c | Trienstonian | 5L 3s | ||
| Medium | 485-510c | 4/3 | Meantone, Archy, Diaschismic (1/2-octave) | 5L 2s | ||
| Large | 505-530c | 27/20 | Mabilic, Deeptone, Gravity | 2L 5s, 7L 2s | ||
| Semiaugmented fourth | 525-565c | |||||
| Tritone | Small | 560-585c | ||||
| Medium | 580-620c | |||||
| Large | 615-640c | |||||
| Semidiminished fifth | 635-675c | |||||
| Fifth | Small | 670-695c | 40/27 | Mabilic, Deeptone, Gravity | 2L 5s, 7L 2s | |
| Medium | 690-715c | 3/2 | Meantone, Archy, Diaschismic (1/2-octave) | 5L 2s | ||
| Large | 710-735c | Trienstonian | 5L 3s | |||
| Interordinal 5th-6th | 730-760c | Sensi | 5L 3s, 3L 5s | |||
| Minor sixth | Subminor | 755-780c | Squares, Sensi | 3L 5s | ||
| Farminor | 775-800c | 3L 5s | ||||
| Nearminor | 795-825c | Magic, Wurschmidt | ||||
| Neutral sixth | Supraminor | 820-840c | Wilsormic, Dicot | |||
| Neutral | 835-865c | Rastmic | ||||
| Submajor | 860-880c | Orgone, Amity, Sixix, Dicot | ||||
| Major sixth | Nearmajor | 875-905c | Kleismic, Orgone | |||
| Farmajor | 900-925c | |||||
| Supermajor | 920-945c | Orwell | ||||
| Interordinal 6th-7th | 940-960c | Semaphore | ||||
| Minor seventh | Subminor | 955-980c | Slendric | |||
| Farminor | 975-1000c | Didacus | ||||
| Nearminor | 995-1025c | Tetracot | ||||
| Neutral seventh | Supraminor | 1020-1040c | Porcupine | |||
| Neutral | 1035-1065c | |||||
| Submajor | 1060-1080c | Negri | ||||
| Major seventh | Nearmajor | 1075-1105c | Diaschismic (1/2-octave) | |||
| Farmajor | 1100-1125c | |||||
| Supermajor | 1120-1145c | |||||
| Octave-diesis | 1140-1170c | |||||
| Octave-comma | 1165-1197c | |||||
| Octave | 1197-1203c | |||||
