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 |
