Equal tempered tuning may use any value for the standard interval. Dividing the octave into multiples of 12 units is fairly common with 24tET, 48tET, and 72tET having been widely used. Equal temperaments are usually described as tones per octave (tET), or cents per tone (cET) Eg 88cET.
Many equal temperament tunings may also be viewed and mapped in a similar way to LucyTuning with Large and small intervals.
Steps
per octave |
Cents
per step |
Steps/cents
per (L) Large Interval |
Steps & cents
per (s) small interval |
Steps/cents
per (3L+s) Fifth (V) |
12 | 100 | 2
200 |
1
100 |
7
700 |
19 | 63.16 | 3
189.47 |
2
126.32 |
11
694.74 |
31 | 38.71 | 5
193.553 |
3
116.13 |
18
696.77 |
53 | 22.64 | 9
203.77 |
4
90.57 |
31
701.89 |
79 | 15. | 13
197.4719 |
7
106.33 |
46
698.73 |
88 | 13.64 | 14
190.91 |
9
122.73 |
51
695.45 |
Wendy Carlos has experimented with and published information on three equal tunings
name | Intervals
per Octave |
cents per interval | Number of
steps per Fifth |
Alpha | 15.385 | 78.0 | 9 |
Beta | 18.809 | 63.8 | 11 |
Gamma | 34.188 | 35.1 | 20 |
The possibilities are endless.