User:Overthink/Table of 19edo intervals: Difference between revisions
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Created page with "Here is a table I created of 19edo intervals and a mnemonic. {| class="wikitable" |+Table 19edo Intervals !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 |- |2 |126.32 |16/15, 15/14, 14/13, 13/12 |Minor 2nd |Large semitone |- |3 |189.47 |9/8, 10/9 |Major 2nd |"Throne" ('''thr'''ee steps, whole t'''one''') |- |4 |252.6..." |
added more mnemonics |
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| Line 18: | Line 18: | ||
|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 | |Small semitone ('''1''') | ||
|- | |- | ||
|2 | |2 | ||
| Line 24: | Line 24: | ||
|16/15, 15/14, 14/13, 13/12 | |16/15, 15/14, 14/13, 13/12 | ||
|Minor 2nd | |Minor 2nd | ||
|Large semitone | |Large semitone ('''2''') | ||
|- | |- | ||
|3 | |3 | ||
| Line 60: | Line 60: | ||
|4/3 | |4/3 | ||
|Perfect 4th | |Perfect 4th | ||
| | |P4=11 steps (no easy mnemonic) | ||
|- | |- | ||
|9 | |9 | ||
| Line 78: | Line 78: | ||
|3/2 | |3/2 | ||
|Perfect 5th | |Perfect 5th | ||
| | |P5=11 steps (no easy mnemonic) | ||
|- | |- | ||
|12 | |12 | ||
| Line 102: | Line 102: | ||
|7/4, 12/7, 26/15 | |7/4, 12/7, 26/15 | ||
|Supermajor 6th, Subminor 7th | |Supermajor 6th, Subminor 7th | ||
| | |26/'''15''' | ||
|- | |- | ||
|16 | |16 | ||
| Line 108: | Line 108: | ||
|16/9, 9/5 | |16/9, 9/5 | ||
|Minor 7th | |Minor 7th | ||
| | |'''16'''/9 | ||
|- | |- | ||
|17 | |17 | ||
| Line 114: | Line 114: | ||
|15/8, 28/15, 13/7, 24/13 | |15/8, 28/15, 13/7, 24/13 | ||
|Major 7th | |Major 7th | ||
| | |1'''7''' ('''7th''') | ||
|- | |- | ||
|18 | |18 | ||
| Line 120: | Line 120: | ||
|48/25, 27/14, 25/13, 52/27 | |48/25, 27/14, 25/13, 52/27 | ||
|Supermajor 7th, Diminished 8ve | |Supermajor 7th, Diminished 8ve | ||
| | |'''1''' less than '''8'''ve | ||
|- | |- | ||
|19 | |19 | ||
Revision as of 01:50, 24 September 2025
Here is a table I created of 19edo intervals and a mnemonic.
| 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 (1) |
| 2 | 126.32 | 16/15, 15/14, 14/13, 13/12 | Minor 2nd | Large semitone (2) |
| 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=11 steps (no easy mnemonic) |
| 9 | 568.42 | 25/18, 7/5, 18/13, 45/32 | Augmented 4th | |
| 10 | 631.58 | 36/25, 10/7, 13/9, 64/45 | Diminished 5th | |
| 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 | |
| 13 | 821.05 | 8/5, 13/8 | Minor 6th | 13th harmonic (though flat) |
| 14 | 884.21 | 5/3 | Major 6th | |
| 15 | 947.37 | 7/4, 12/7, 26/15 | Supermajor 6th, Subminor 7th | 26/15 |
| 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 (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 |