List of meantone intervals
From Wikipedia, the free encyclopedia
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 12-et refers to the size of the interval in equal temperament, and 50-et to the size in 50-equal temperament. The latter was chosen because it is a good meantone tuning, and like 12-et, makes all intervals come out to an integer number in terms of cents. 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 12-et | Cents in 50-et | Name | Ratios |
|---|---|---|---|
| 0.00 | 0.00 | Unison | 1, 81/80, 126/125 |
| 0.00 | 48.0 | Diminished second or Diesis | 128/125, 36/35 |
| 100.0 | 72.0 | Chromatic semitone | 21/20, 25/24 |
| 100.0 | 120.0 | Diatonic semitone | 15/14, 16/15 |
| 200.0 | 192.0 | Major second or tone | 9/8, 10/9 |
| 200.0 | 240.0 | Diminished third | 8/7 |
| 300.0 | 264.0 | Augmented second | 7/6 |
| 300.0 | 312.0 | Minor third | 6/5 |
| 400.0 | 384.0 | Major third | 5/4 |
| 400.0 | 432.0 | Diminished fourth | 9/7 |
| 500.0 | 456.0 | Augmented third | 21/16 |
| 500.0 | 504.0 | Perfect fourth | 4/3 |
| 600.0 | 576.0 | Augmented fourth or Tritone | 7/5 |
| 600.0 | 624.0 | Diminished fifth | 10/7 |
| 700.0 | 696.0 | Perfect fifth | 3/2 |
| 700.0 | 744.0 | Diminished sixth or Wolf fifth | 32/21 |
| 800.0 | 768.0 | Augmented fifth | 14/9 |
| 800.0 | 816.0 | Minor sixth | 8/5 |
| 900.0 | 888.0 | Major sixth | 5/3 |
| 900.0 | 936.0 | Diminished seventh | 12/7 |
| 1000.0 | 960.0 | Augmented sixth | 7/4 |
| 1000.0 | 1008.0 | Minor seventh | 9/5, 16/9 |
| 1100.0 | 1080.0 | Major seventh | 15/8, 28/15 |
| 1200.00 | 1200.0 | Octave or diapason | 2 |
