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This page gives the intervals of the equal tempered Bohlen-Pierce scale -- the 13th root of 3, along with some nearby just ratios for comparison.

degree
cents value
nearby frequency ratios
cents value
difference between BP interval & just interval
first octave and first tritave...


0
0
1/1
0
0
1
146.3
12/11
13/12
27/25
150.6
138.6
133.2
-4.3
7.7
13.1
2
292.6
32/27
13/11
19/16
25/21
294.1
289.2
297.5
301.8
-1.5
3.4
-4.9
-9.2
3
438.9
9/7
435.1
3.8
4
585.2
7/5
45/32
582.5
590.2
2.7
-5.0
5
731.5
32/21
26/17
75/49
49/32
20/13
729.2
735.6
736.9
737.7
745.8
2.3
-4.1
-5.4
-6.2
-14.3
6
877.8
5/3
884.4
-6.6
7
1024.1
38/21
29/16
9/5
20/11
1026.7
1029.6
1017.6
1035.0
-2.6
-5.5
6.5
-10.9
8
1170.4
49/25
1165.0
5.4
second octave...


9
116.7
15/14
16/15
14/13
119.4
111.7
128.3
-2.7
5.0
-11.6
10
263.0
7/6
22/19
266.9
253.8
-3.9
9.2
11
409.3
19/15
81/64
24/19
14/11
63/50
409.2
407.8
404.4
417.5
400.1
.1
1.5
4.9
-8.2
9.2
12
555.7
11/8
18/13
26/19
25/18
551.3
563.4
543.0
568.7
4.4
-7.7
12.7
-13.0
second tritave...


13
702.0
3/2
702.0
0
14
848.3
18/11
13/8
852.6
840.5
-4.3
7.8
15
994.6
16/9
996.1
-1.5
16
1140.9
27/14
1137.0
3.9
third octave...


17
87.2
20/19
21/20
19/18
22/21
88.8
84.5
93.6
80.5
-1.6
2.7
-6.4
6.7
18
233.5
8/7
15/13
231.2
247.7
2.3
-14.2
19
379.8
5/4
26/21
386.3
369.7
-6.5
10.1
20
526.1
19/14
27/20
15/11
528.7
519.6
537.0
-2.6
6.5
-10.9
21
672.4
28/19
25/17
22/15
671.3
667.7
663.0
1.1
4.7
9.4
22
818.7
8/5
21/13
813.7
830.3
5.0
-11.6
23
965.0
7/4
26/15
968.8
952.3
-3.8
12.7
24
1111.3
19/10
40/21
36/19
21/11
1111.2
1115.5
1106.4
1119.5
0.1
-4.2
4.9
-8.2
fourth octave...


25
57.6
33/32
53.3
4.3
third tritave...


26
203.9
9/8
203.9
0
27
350.2



28
496.5



29
642.8



30
789.1



31
935.4



32
1081.7



fifth octave...


33
28.0