User:Overthink/Table of 19edo intervals
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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.
| Steps | Cents | Intervals of 2.3.5.7.13 | Name | Mnemonic |
|---|---|---|---|---|
| 0 | 0.00 | 1/1 | Unison | Zero difference (in pitch) |
| 1 | 63.16 | 25/24, 28/27, 26/25, 27/26 | Augmented unison, Subminor 2nd | Small semitone (aug 1sn) |
| 2 | 126.32 | 16/15, 15/14, 14/13, 13/12 | Minor 2nd | Large semitone (minor 2nd) |
| 3 | 189.47 | 9/8, 10/9 | Major 2nd | "Throne" (three steps, whole tone) |
| 4 | 252.63 | 7/6, 8/7, 15/13 | Supermajor 2nd, Subminor 3rd | Semifourth |
| 5 | 315.79 | 6/5 | Minor 3rd | Lesser (minor) median of 1 and 10 |
| 6 | 378.95 | 5/4, 16/13 | Major 3rd | Greater (major) median of 1 and 10 |
| 7 | 442.11 | 9/7, 13/10, 21/16 | Supermajor 3rd, Diminished 4th | Septimal (7) major 3rd |
| 8 | 505.26 | 4/3 | Perfect 4th | P4=8 steps (no easy mnemonic) |
| 9 | 568.42 | 25/18, 7/5, 18/13, 45/32 | Augmented 4th | 9/13 (18/13), one step wider than P4 |
| 10 | 631.58 | 36/25, 10/7, 13/9, 64/45 | Diminished 5th | 10/7, one step narrower than P5 |
| 11 | 694.74 | 3/2 | Perfect 5th | P5=11 steps (no easy mnemonic) |
| 12 | 757.89 | 14/9, 20/13, 32/21 | Augmented 5th, Subminor 6th | Just wider than a fifth (11) |
| 13 | 821.05 | 8/5, 13/8 | Minor 6th | 13th harmonic (though flat) |
| 14 | 884.21 | 5/3 | Major 6th | No easy mnemonic (M6=14 steps) |
| 15 | 947.37 | 7/4, 12/7, 26/15 | Supermajor 6th, Subminor 7th | 26/15 (well-known semitwelfth) |
| 16 | 1010.53 | 16/9, 9/5 | Minor 7th | 16/9 |
| 17 | 1073.68 | 15/8, 28/15, 13/7, 24/13 | Major 7th | 17 (major 7th) |
| 18 | 1136.84 | 48/25, 27/14, 25/13, 52/27 | Supermajor 7th, Diminished 8ve | 1 less than 8ve |
| 19 | 1200.00 | 2/1 | Octave | 19edo |