View source for List of interval regions

This is a list of interval regions within the octave according to an altered version of Margo Schulter's categorization scheme.

Main table
{| class="wikitable"
|+
!
!Fifth tuning ranges (Vector)
! colspan="2" |Scale generator regions
!B
!D
! colspan="3" |Schulter
!C
|-
|234-240c
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|
| rowspan="8" |third
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|-
|240-249c
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| rowspan="8" |third
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|-
|249-260c
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|
| rowspan="5" |third
|-
|260-330c
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|
|
| rowspan="3" |third
|minor third
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|-
|330-372c
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|
|
|zalzalian third
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|-
|372-440c
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|
|
|major third
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|-
|440-453c
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|-
|453-468c
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|-
|468-480c
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|-
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|-
|685-691.5c
|deeptone fifth
| rowspan="9" |perfect fifth
| rowspan="3" |soft diatonic
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|
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|-
|691.5-694.7c
|flattone fifth
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|-
|694.7-700c
|meantone fifth
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|-
|700-703.5c
|pythagorean fifth
| rowspan="6" |hard diatonic
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|-
|703.5-705.9c
|gentle fifth
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|-
|705.9-707.5c
|shrub fifth
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|-
|707.5-711.1c
|superpyth fifth
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|-
|711.1-714.3c
|ultrapyth fifth
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|-
|714.3-720c
|equipentatonic fifth
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|}
[WIP]
{| class="wikitable"
|+
! colspan="2" |Region name
!Range
!Important just intervals
!Temperaments
!MOSes (octave-periodic)
!Notes
|-
| colspan="2" |Unison
|0c (singleton)
|1/1
| -
| -
|
|-
| colspan="2" |Comma
|0-35c
|
|
|
|
|-
| colspan="2" |Diesis
|30-60c
|
|
|
|
|-
| rowspan="3" |Minor second
|Subminor
|55-80c
|
|
|
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|-
|Farminor
|75-100c
|
|
|
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|-
|Nearminor
|95-125c
|
|Diaschismic (1/2-octave)
|
|
|-
| rowspan="3" |Neutral second
|Supraminor
|120-140c
|
|Negri
|
|
|-
|Neutral
|135-165c
|
|
|
|
|-
|Submajor
|160-180c
|
|Porcupine
|
|"Equable heptatonic" region is around here
|-
| rowspan="3" |Major second
|Nearmajor
|175-205c
|
|Tetracot
|
|
|-
|Farmajor
|200-225c
|
|Didacus
|
|
|-
|Supermajor
|220-245c
|
|Slendric
|
|
|-
| colspan="2" |Interordinal 2nd-3rd
|240-260c
|
|Semaphore
|
|
|-
| rowspan="3" |Minor third
|Subminor
|255-280c
|
|Orwell
|
|
|-
|Farminor
|275-300c
|
|
|
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|-
|Nearminor
|295-325c
|
|Kleismic, Orgone
|
|
|-
| rowspan="3" |Neutral third
|Supraminor
|320-340c
|
|Orgone, Amity, Sixix, Dicot
|
|
|-
|Neutral
|335-365c
|11/9, 16/13
|Rastmic
|
|
|-
|Submajor
|360-380c
|
|Wilsormic, Dicot
|
|
|-
| rowspan="3" |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
|
|-
| colspan="2" |Interordinal 3rd-4th
|440-470c
|13/10
|Sensi
|5L 3s, 3L 5s
|
|-
| rowspan="3" |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
|
|-
| colspan="2" |Semiaugmented fourth
|525-565c
|
|
|
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|-
| rowspan="3" |Tritone
|Small
|560-585c
|
|
|
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|-
|Medium
|580-620c
|
|
|
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|-
|Large
|615-640c
|
|
|
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|-
| colspan="2" |Semidiminished fifth
|635-675c
|
|
|
|
|-
| rowspan="3" |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
|
|-
| colspan="2" |Interordinal 5th-6th
|730-760c
|
|Sensi
|5L 3s, 3L 5s
|
|-
| rowspan="3" |Minor sixth
|Subminor
|755-780c
|
|Squares, Sensi
|3L 5s
|
|-
|Farminor
|775-800c
|
|
|3L 5s
|
|-
|Nearminor
|795-825c
|
|Magic, Wurschmidt
|
|
|-
| rowspan="3" |Neutral sixth
|Supraminor
|820-840c
|
|Wilsormic, Dicot
|
|
|-
|Neutral
|835-865c
|
|Rastmic
|
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|-
|Submajor
|860-880c
|
|Orgone, Amity, Sixix, Dicot
|
|
|-
| rowspan="3" |Major sixth
|Nearmajor
|875-905c
|
|Kleismic, Orgone
|
|
|-
|Farmajor
|900-925c
|
|
|
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|-
|Supermajor
|920-945c
|
|Orwell
|
|
|-
| colspan="2" |Interordinal 6th-7th
|940-960c
|
|Semaphore
|
|
|-
| rowspan="3" |Minor seventh
|Subminor
|955-980c
|
|Slendric
|
|
|-
|Farminor
|975-1000c
|
|Didacus
|
|
|-
|Nearminor
|995-1025c
|
|Tetracot
|
|
|-
| rowspan="3" |Neutral seventh
|Supraminor
|1020-1040c
|
|Porcupine
|
|
|-
|Neutral
|1035-1065c
|
|
|
|
|-
|Submajor
|1060-1080c
|
|Negri
|
|
|-
| rowspan="3" |Major seventh
|Nearmajor
|1075-1105c
|
|Diaschismic (1/2-octave)
|
|
|-
|Farmajor
|1100-1125c
|
|
|
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|-
|Supermajor
|1120-1145c
|
|
|
|
|-
| colspan="2" |Octave-diesis
|1140-1170c
|
|
|
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|-
| colspan="2" |Octave-comma
|1165-1197c
|
|
|
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|-
| colspan="2" |Octave
|1197-1203c
|
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|}