User:Moremajorthanmajor/13edIX

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This scale occurs in 12edo, where it is the equal division of the minor ninth.

Intervals

Phrygian Mode (aka Double) Neapolitan Temperament

Degrees Octatonic Minimum Mean Median Golden Maximum
1 F#/Gb see 13edo 96.923 100.699 101.001 101.5385
2 G 193.846 201.399 202.002 203.077
3 A 290.769 302.098 303.0035 304.615
4 A#/Bb 387.692 402.797 404.005 406.154
5 B 484.615 503.4965 505.006 507.692
6 B#/Hb 581.5385 604.196 606.007 609.231
7 H 678.4615 704.895 707.008 710.769
8 C 775.385 805.594 808.009 812.308
9 C#/Db 872.318 906.294 909.011 913.846
10 D 969.231 1006.993 1010.012 1015.385
11 D#/Eb 1066.154 1107.692 1111.013 1116.923
12 E 1163.077 1208.392 1212.014 1218.4615
13 F 1260 1309.091 1313.015 1320

Phrygian-Aeolian Mode Neapolitan Temperament

Degrees Octatonic Minimum Golden Mean Median Maximum
1 F#/Gb 101.5385 102.733 103.5165 104.615 105.4945
2 G 203.077 205.466 207.033 209.231 210.989
3 A 304.615 308.199 310.5465 313.846 316.4835
4 A#/Bb 406.154 410.932 414.066 418.4615 421.978
5 B 507.692 513.6655 517.582 523.077 527.4725
6 B#/Hb 609.231 616.399 621.099 627.692 632.967
7 H 710.769 719.132 724.615 732.318 738.4615
8 C 812.308 821.865 828.132 836.923 843.856
9 C#/Db 913.846 924.598 931.648 941.5385 949.4505
10 D 1015.385 1027.331 1035.165 1046.154 1054.945
11 D#/Eb 1116.923 1130.064 1138.681 1150.769 1160.44
12 E 1218.4615 1232.797 1242.198 1255.385 1265.9348
13 F 1320 1335.53 1345.714 1360 1371.429

Aeolian Mode Neapolitan Temperament

Degrees Octatonic Minimum Golden Median ed(9/4) Mean Maximum
1 F#/Gb 105.4945 107.11 107.692 107.993 108.132 110.769
2 G 210.989 214.22 214.385 215.986 216.264 221.5385
3 A 316.4835 321.33 322.077 323.979 324.396 332.308
4 A#/Bb 421.978 428.44 429.769 431.972 432.5275 443.076
5 B 527.4725 535.55 583.4615 539.965 540.659 553.846
6 B#/Hb 632.967 642.6595 646.154 647.9585 648.791 664.615
7 H 738.4615 749.769 753.846 755.9515 756.923 775.385
8 C 843.856 856.879 861.5385 863.945 865.055 886.154
9 C#/Db 949.4505 963.989 969.231 971.938 973.187 996.923
10 D 1054.945 1071.099 1076.923 1079.931 1081.319 1107.692
11 D#/Eb 1160.44 1178.209 1184.615 1187.924 1189.4505 1218.4615
12 E 1265.9348 1285.319 1292.308 1295.917 1297.582 1329.231
13 F 1371.429 1392.429 1400 1403.91 1405.714 1440