Tables

1. Octave (2/1)
2. Quintave (3/2)
3. Fourth (4/3)
4. Minor Sixth (8/5)
5. Major Sixth (5/3)
6. Minor Seventh (9/5)
7. Ninth (9/4)
8. Major Tenth (5/2)
9. Twelfth (3/1)
10. Double Octave (4/1)
11. Fifth Harmonic (5/1)
12. Seventh Harmonic (7/1)
13. Triple Octave (8/1)
14. 11-Subminor Tritone (11/8)
15. 11-Neutral Ninth (11/5)
16. Subminor Tenth (7/3)
17. Harmonic Seventh (7/4)
18. Just Tritone (7/5)
19. Augmented Just Tritone (10/7)
20. 11-Subminor Sixth (11/7)
21. Supermajor Sixth (12/7)

Equal Divisions of the Ninth

Compiled by X. J. Scott, January 2008

Tuning	step size	recipe	Scale Pattern
7th root of 9/4	200.559 cents		0 201 201 201 401 201 602 201 802 201 1003 201 1203 201 1404   1604
9th root of 9/4	155.990 cents		0 156 156 156 312 156 468 156 624 156 780 156 936 156 1092 156 1248 156 1404   1560
11th root of 9/4	127.628 cents		0 128 128 128 255 128 383 128 511 128 638 128 766 128 893 128 1021 128 1149 128 1276 128 1404   1532
13th root of 9/4	107.993 cents		0 108 108 108 216 108 324 108 432 108 540 108 648 108 756 108 864 108 972 108 1080 108 1188 108 1296 108 1404   1512
15th root of 9/4	93.594 cents		0 94 94 94 187 94 281 94 374 94 468 94 562 94 655 94 749 94 842 94 936 94 1030 94 1123 94 1217 94 1310 94 1404   1498
17th root of 9/4	82.583 cents		0 83 83 83 165 83 248 83 330 83 413 83 495 83 578 83 661 83 743 83 826 83 908 83 991 83 1074 83 1156 83 1239 83 1321 83 1404   1486
19th root of 9/4	73.890 cents		0 74 74 74 148 74 222 74 296 74 369 74 443 74 517 74 591 74 665 74 739 74 813 74 887 74 961 74 1034 74 1108 74 1182 74 1256 74 1330 74 1404   1478
21st root of 9/4	66.853 cents		0 67 67 67 134 67 201 67 267 67 334 67 401 67 468 67 535 67 602 67 669 67 735 67 802 67 869 67 936 67 1003 67 1070 67 1136 67 1203 67 1270 67 1337 67 1404   1471
23rd root of 9/4	61.040 cents		0 61 61 61 122 61 183 61 244 61 305 61 366 61 427 61 488 61 549 61 610 61 671 61 732 61 794 61 855 61 916 61 977 61 1038 61 1099 61 1160 61 1221 61 1282 61 1343 61 1404   1465
25th root of 9/4	56.156 cents		0 56 56 56 112 56 168 56 225 56 281 56 337 56 393 56 449 56 505 56 562 56 618 56 674 56 730 56 786 56 842 56 899 56 955 56 1011 56 1067 56 1123 56 1179 56 1235 56 1292 56 1348 56 1404   1460
27th root of 9/4	51.997 cents		0 52 52 52 104 52 156 52 208 52 260 52 312 52 364 52 416 52 468 52 520 52 572 52 624 52 676 52 728 52 780 52 832 52 884 52 936 52 988 52 1040 52 1092 52 1144 52 1196 52 1248 52 1300 52 1352 52 1404   1456
29th root of 9/4	48.411 cents		0 48 48 48 97 48 145 48 194 48 242 48 290 48 339 48 387 48 436 48 484 48 533 48 581 48 629 48 678 48 726 48 775 48 823 48 871 48 920 48 968 48 1017 48 1065 48 1113 48 1162 48 1210 48 1259 48 1307 48 1355 48 1404   1452
31st root of 9/4	45.287 cents		0 45 45 45 91 45 136 45 181 45 226 45 272 45 317 45 362 45 408 45 453 45 498 45 543 45 589 45 634 45 679 45 725 45 770 45 815 45 860 45 906 45 951 45 996 45 1042 45 1087 45 1132 45 1177 45 1223 45 1268 45 1313 45 1359 45 1404   1449
33rd root of 9/4	42.543 cents		0 43 43 43 85 43 128 43 170 43 213 43 255 43 298 43 340 43 383 43 425 43 468 43 511 43 553 43 596 43 638 43 681 43 723 43 766 43 808 43 851 43 893 43 936 43 978 43 1021 43 1064 43 1106 43 1149 43 1191 43 1234 43 1276 43 1319 43 1361 43 1404   1446
35th root of 9/4	40.112 cents		0 40 40 40 80 40 120 40 160 40 201 40 241 40 281 40 321 40 361 40 401 40 441 40 481 40 521 40 562 40 602 40 642 40 682 40 722 40 762 40 802 40 842 40 882 40 923 40 963 40 1003 40 1043 40 1083 40 1123 40 1163 40 1203 40 1243 40 1284 40 1324 40 1364 40 1404   1444
37th root of 9/4	37.944 cents		0 38 38 38 76 38 114 38 152 38 190 38 228 38 266 38 304 38 341 38 379 38 417 38 455 38 493 38 531 38 569 38 607 38 645 38 683 38 721 38 759 38 797 38 835 38 873 38 911 38 949 38 987 38 1024 38 1062 38 1100 38 1138 38 1176 38 1214 38 1252 38 1290 38 1328 38 1366 38 1404   1442
39th root of 9/4	35.998 cents		0 36 36 36 72 36 108 36 144 36 180 36 216 36 252 36 288 36 324 36 360 36 396 36 432 36 468 36 504 36 540 36 576 36 612 36 648 36 684 36 720 36 756 36 792 36 828 36 864 36 900 36 936 36 972 36 1008 36 1044 36 1080 36 1116 36 1152 36 1188 36 1224 36 1260 36 1296 36 1332 36 1368 36 1404   1440
41st root of 9/4	34.242 cents		0 34 34 34 68 34 103 34 137 34 171 34 205 34 240 34 274 34 308 34 342 34 377 34 411 34 445 34 479 34 514 34 548 34 582 34 616 34 651 34 685 34 719 34 753 34 788 34 822 34 856 34 890 34 925 34 959 34 993 34 1027 34 1061 34 1096 34 1130 34 1164 34 1198 34 1233 34 1267 34 1301 34 1335 34 1370 34 1404   1438
43rd root of 9/4	32.649 cents		0 33 33 33 65 33 98 33 131 33 163 33 196 33 229 33 261 33 294 33 326 33 359 33 392 33 424 33 457 33 490 33 522 33 555 33 588 33 620 33 653 33 686 33 718 33 751 33 784 33 816 33 849 33 882 33 914 33 947 33 979 33 1012 33 1045 33 1077 33 1110 33 1143 33 1175 33 1208 33 1241 33 1273 33 1306 33 1339 33 1371 33 1404   1437
45th root of 9/4	31.198 cents		0 31 31 31 62 31 94 31 125 31 156 31 187 31 218 31 250 31 281 31 312 31 343 31 374 31 406 31 437 31 468 31 499 31 530 31 562 31 593 31 624 31 655 31 686 31 718 31 749 31 780 31 811 31 842 31 874 31 905 31 936 31 967 31 998 31 1030 31 1061 31 1092 31 1123 31 1154 31 1186 31 1217 31 1248 31 1279 31 1310 31 1342 31 1373 31 1404   1435