User:Overthink/Table of 19edo intervals: Difference between revisions

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Here is a table I created of 19edo intervals and a mnemonic.
Here is a table I created of 19edo intervals and a mnemonic. My biggest complaint with 19edo (and meantone in general) is that the minor seconds are quite wide and getting into the neutral range.
{| class="wikitable"
{| class="wikitable"
|+Table 19edo Intervals
|+Table 19edo Intervals
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|25/24, 28/27, 26/25, 27/26
|25/24, 28/27, 26/25, 27/26
|Augmented unison, Subminor 2nd  
|Augmented unison, Subminor 2nd  
|Small semitone ('''1''')
|Small semitone (aug '''1sn''')
|-
|-
|2
|2
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|16/15, 15/14, 14/13, 13/12
|16/15, 15/14, 14/13, 13/12
|Minor 2nd
|Minor 2nd
|Large semitone ('''2''')
|Large semitone (minor '''2nd''')
|-
|-
|3
|3
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|25/18, 7/5, 18/13, 45/32
|25/18, 7/5, 18/13, 45/32
|Augmented 4th
|Augmented 4th
|
|'''9'''/13 (18/13), one step wider than P4
|-
|-
|10
|10
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|36/25, 10/7, 13/9, 64/45
|36/25, 10/7, 13/9, 64/45
|Diminished 5th
|Diminished 5th
|
|'''10'''/7, one step narrower than P5
|-
|-
|11
|11
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|14/9, 20/13, 32/21
|14/9, 20/13, 32/21
|Augmented 5th, Subminor 6th
|Augmented 5th, Subminor 6th
|
|Just wider than a fifth (11)
|-
|-
|13
|13
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|5/3
|5/3
|Major 6th
|Major 6th
|
|No easy mnemonic (M6=14 steps)
|-
|-
|15
|15
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|7/4, 12/7, 26/15
|7/4, 12/7, 26/15
|Supermajor 6th, Subminor 7th
|Supermajor 6th, Subminor 7th
|26/'''15'''
|26/'''15''' (well-known semitwelfth)
|-
|-
|16
|16
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|15/8, 28/15, 13/7, 24/13
|15/8, 28/15, 13/7, 24/13
|Major 7th
|Major 7th
|1'''7''' ('''7th''')
|1'''7''' (major '''7th''')
|-
|-
|18
|18