List of interval regions

From XenReference

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