38wtn

A 38 tone well tempered nonet (38WTN) is related to well temperaments of 32edo and 33edo, but with a nonet rather than the 2/1 being constant. Its patent tunings alternate division of the just perfect fifth into 19 equal parts (19EDF) with sequences of nineteen equal steps of 31.579 to 42.105 cents each. This will create nineteen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.

Patent Intervals

	Target a	Target b	Alternating edo and *ed(9/8) a	Alternating edo and *ed(9/8) b
1	36.945		37.5	36.364
2	73.89		75.0	72.727
3	110.835		112.5	109.091
4	147.78		150.0	145.4545
5	184.725		187.5	181.818
6	221.67		225.0	218.182
7	258.615		262.5	254.5455
8	295.56		300.0	290.909
9	332.505		337.5	327.273
10	369.45		375.0	363.636
11	406.395		412.5	400.000
12	443.34		450.0	436.364
13	480.285		487.5	472.727
14	517.23		525.0	509.091
15	554.175		562.5	545.4545
16	591.12		600.0	581.818
17	628.065		637.5	618.182
18	665.01		675.0	654.5455
19	701.955		712.5	690.909
20	740.266	737.53	750.0	727.273
21	778.577	773.104	787.5	763.636
22	816.8885	808.679	825.0	800.000
23	855.2	844.2535	862.5	836.364
24	893.511	879.828	900.0	872.727
25	931.812	915.403.	937.5	909.091
26	970.133	950.9775	975.0	945.4545
27	1008.449	986.552	1012.5	981.818
28	1046.755	1022.127	1050.0	1018.182
29	1085.0665	1057.701	1087.5	1054.5455
30	1123.378	1093.276	1125.0	1090.909
31	1161.689	1128.851	1162.5	1127.273
32	1200	1164.425	1200	1163.636
33	1238.311	1200	1233.985	1200
34	1276.622	1235.575	1267.97	1240.782
35	1314.9335	1271.149	1301.995	1281.564
36	1353.245	1306.724	1335.94	1322.346
37	1391.556	1342.2985	1369.925	1363.128
38	1429.877	1377.873	1403.91