List of meantone intervals
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The following is a list of intervals of meantone temperament. These intervals constitute the standard vocabulary of intervals for the Western common practice era. Here 12edo refers to the size of the interval in 12 equal divisions of the octave temperament, and 50-equal divisions of the octave to the size in 50edo and 88edo. Fifty edo was chosen because it is a meantone tuning, which like 12edo, makes all intervals come out to an integer number in terms of cents, and 88edo because it produces particularly consonant music. The column of ratios gives a ratio or ratios approximated by the interval in septimal meantone temperament. An augmented interval is increased by a chromatic semitone, and a diminished interval decreased.
| Cents in 12edo | Cents in 50edo | Cents in 88edo | Position in 88edo | NoteName from C | Roman No. | Name | Just Intonation Ratios |
|---|---|---|---|---|---|---|---|
| 0.00 | 0.00 | 0.00 | 0 | C | I | Unison | 1, 81/80, 126/125 |
| 0.00 | 48.0 | 54.5 | 4 | Dbb | bbII | Diminished second or Diesis | 128/125, 36/35 |
| 100.0 | 72.0 | 68.2 | 5 | C# | #I | Chromatic semitone | 21/20, 25/24 |
| 100.0 | 120.0 | 122.7 | 9 | Db | bII | Diatonic semitone | 15/14, 16/15 |
| 200.0 | 192.0 | 190.9 | 14 | D | II | Major second or tone | 9/8, 10/9 |
| 200.0 | 240.0 | 245.5 | 18 | Ebb | bbIII | Diminished third | 8/7 |
| 300.0 | 264.0 | 259.1 | 19 | D# | #II | Augmented second | 7/6 |
| 300.0 | 312.0 | 313.6 | 23 | Eb | bIII | Minor third | 6/5 |
| 400.0 | 384.0 | 381.8 | 28 | E | III | Major third | 5/4 |
| 400.0 | 432.0 | 436.4 | 32 | Fb | bIV | Diminished fourth | 9/7 |
| 500.0 | 456.0 | 450.0 | 33 | E# | #III | Augmented third | 21/16 |
| 500.0 | 504.0 | 504.5 | 37 | F | IV | Perfect fourth | 4/3 |
| 600.0 | 576.0 | 572.7 | 42 | F# | #IV | Augmented fourth or Tritone | 7/5 |
| 600.0 | 624.0 | 627.3 | 46 | Gb | bV | Diminished fifth | 10/7 |
| 700.0 | 696.0 | 695.5 | 51 | G | V | Perfect fifth | 3/2 |
| 700.0 | 744.0 | 750.0 | 55 | Abb | bbVI | Diminished sixth or Wolf fifth | 32/21 |
| 800.0 | 768.0 | 763.6 | 56 | G# | #V | Augmented fifth | 14/9 |
| 800.0 | 816.0 | 818.2 | 60 | Ab | bVI | Minor sixth | 8/5 |
| 900.0 | 888.0 | 886.4 | 65 | A | VI | Major sixth | 5/3 |
| 900.0 | 936.0 | 940.9 | 69 | Bbb | bbVII | Diminished seventh | 12/7 |
| 1000.0 | 960.0 | 954.5 | 70 | A# | #VI | Augmented sixth | 7/4 |
| 1000.0 | 1008.0 | 1009.1 | 74 | Bb | bVII | Minor seventh | 9/5, 16/9 |
| 1100.0 | 1080.0 | 1077.3 | 79 | B | VII | Major seventh | 15/8, 28/15 |
| 1200.00 | 1200.0 | 1200.0 | 88 | C | VIII | Octave or diapason | 2 |
