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The 80 equal temperament, often abbreviated 80-tET, 80-EDO, or 80-ET, is the scale derived by dividing the octave into 80 equally-sized steps. Each step represents a frequency ratio of exactly 15 cents. 80et is the first equal temperament that represents the 19-limit tonality diamond consistently (it barely manages to do so).

80 et tempers out 136/135, 169/168, 176/175, 190/189, 221/220, 256/255, 286/285, 289/288, 325/324, 351/350, 352/351, 361/360, 364/363, 400/399, 456/455, 476/475, 540/539, 561/560, 595/594, 715/714, 936/935, 969/968, 1001/1000, 1275/1274, 1331/1330, 1445/1444, 1521/1520, 1540/1539 and 1729/1728, not to mention such important non-superparticular commas as 2048/2025, 4000/3969, 1728/1715 and 3136/3125.

80 supports a profusion of 19-limit (and lower) rank two temperaments which have mostly not been explored. We might mention:

31&80 <<7 6 15 27 -24 -23 -20 ... ||
72&80 <<24 30 40 24 32 24 0 ... ||
34&80 <<2 -4 -50 22 16 2 -40 ... ||
46&80 <<2 -4 30 22 16 2 40 ... ||
29&80 <<3 34 45 33 24 -37 20 ... ||
12&80 <<4 -8 -20 -36 32 4 0 ... ||
22&80 <<6 -10 12 -14 -32 6 -40 ... ||
58&80 <<6 -10 12 -14 -32 6 40 ... ||
41&80 <<7 26 25 -3 -24 -33 20 ... ||

In each case, the numbers joined by an ampersand represent 19-limit patent vals (meaning obtained by rounding to the nearest integer) and the first and most important part of the wedgie is given.

Intervals of 80edo

degrees
cents
ratios*
0
0
1/1
1
15
64/63
2
30
81/80
3
45
34/33, 36/35
4
60
26/25, 28/27, 33/32, 35/34
5
75
22/21, 25/24, 27/26
6
90
19/18, 20/19, 21/20
7
105
16/15, 17/16, 18/17
8
120
14/13, 15/14
9
135
13/12
10
150
12/11
11
165
11/10
12
180
10/9, 21/19
13
195
19/17
14
210
9/8, 17/15
15
225
8/7
16
240

17
255
15/13, 22/19
18
270
7/6
19
285
13/11, 20/17
20
300
19/16, 25/21
21
315
6/5
22
330
17/14
23
345
11/9
24
360
16/13, 21/17
25
375

26
390
5/4
27
405
19/15, 24/19
28
420
14/11
29
435
9/7
30
450
13/10, 22/17
31
465
17/13
32
480
21/16, 25/19
33
495
4/3
34
510

35
525
19/14
36
540
26/19
37
555
11/8
38
570
18/13
39
585
7/5
40
600
17/12, 24/17
*based on treating 80edo as a 19-limit temperament; other approaches are possible.