Nicetone
Nicetone (also known as the Zarlino pattern or Ptolemaic-Auric diatonic) is a 7-note Maximum variety 3 scale with the step pattern 3L2M2S. Nicetone is a chiral scale with left-handed (LmLsmLs) and right-handed (LmLsLms) variants that are rotationally non-equivalent. 15edo is the first equal division that supports nicetone.
Nicetone has the same pattern of the 5-limit Zarlino scale, though it encompasses the whole range of 3L2M2S. It's also a subset of the 5L2M3S blackdye scale.
Nicetone is intermediate between the 5L 2s diatonic scale and the 3L 4s neutral scale.
Nicetone can be tuned as a 5-limit JI scale or a tempered version thereof, where L represents 9/8, M represents 10/9, and S represents 16/15.
| Name | Structure | Step Sizes | Graphical Representation |
|---|---|---|---|
| Mosh | 3L4s | 7\41, 5\41 | ├──────┼────┼────┼──────┼────┼──────┼────┤ |
| Nicetone | 3L2m2s | 7\41, 6\41, 4\41 | ├──────┼─────┼───┼──────┼─────┼──────┼───┤ |
| Diatonic | 5L2s | 7\41, 3\41 | ├──────┼──────┼──┼──────┼──────┼──────┼──┤ |
| Name | Structure | Step Sizes | Graphical Representation |
|---|---|---|---|
| Mosh | 3L4s | 7\33, 3\33 | ├──┼──────┼──┼──────┼──┼──┼──────┤ |
| Nicetone | 3L2m2s | 7\33, 4\33, 2\33 | ├───┼──────┼─┼──────┼───┼─┼──────┤ |
| antipentic | 3L2s | 7\33, 6\33 | ├─────┼──────╫──────┼─────╫──────┤ |
Modes
Nicetone has 14 modes total, with 7 LH and 7 RH modes. The names are based on their diatonic (5L 2s) counterparts.
The modes are arranged by brightest to darkest.
| Left handed | Right handed |
|---|---|
| LMLSMLS
LH NiceLydian |
LMLSLMS
RH NiceLydian |
| MLSLMLS
LH NiceIonian |
LMSLMLS
RH NiceIonian |
| MLSMLSL
LH NiceMixo |
MLSLMSL
RH NiceMixo |
| LSLMLSM
LH NiceDorian |
MSLMLSL
RH NiceDorian |
| LSMLSLM
LH NiceAolian |
LSLMSLM
RH NiceAolian |
| SLMLSML
LH NicePhrygian |
SLMLSLM
RH NicePhrygian |
| SMLSLML
LH NiceLocrian |
SLMSLML
RH NiceLocrian |
Tunings
| Tuning | L:m:s | Good Just Approximations | Other comments | Degrees | |||||
|---|---|---|---|---|---|---|---|---|---|
| D(9/8) | vE(5/4) | F(4/3) | G(3/2) | vA(5/3) | vB(15/8) | ||||
| JI | (~1.825):(~1.6325):1 | Just 9/8, 5/4 and 4/3 | 203.91 | 386.314 | 498.045 | 701.955 | 884.359 | 1088.269 | |
| 15edo | 3:2:1 | 240 | 400 | 480 | 720 | 880 | 1120 | ||
| 18edo | 4:2:1 | Wolf fourth and fifth | 266.667 | 466.667 | 733.333 | 866.667 | 1133.333 | ||
| 20edo | 4:3:1 | 240 | 420 | 480 | 720 | 900 | 1140 | ||
| 21edo | 5:2:1 | Wolf fourth and fifth | 285.714 | 400 | 457.143 | 742.857 | 857.143 | 1142.857 | |
| 22edo | 4:3:2 | Also has diatonic MOS | 218.182 | 381.182 | 490.909 | 709.091 | 872.727 | 1090.909 | |
| 23edo | 5:3:1 | 14/11 | Wolf fourth and fifth | 260.87 | 417.391 | 469.565 | 730.435 | 886.9565 | 1147.826 |
| 24edo | 6:2:1 | Also has neutral diatonic MOS | 300 | 400 | 450 | 750 | 850 | 1050 | |
| 25edo | 5:3:2
5:4:1 |
240 | 384
432 |
480 | 720 | 864
912 |
1104 | ||
| 26edo | 6:3:1 | Also has diatonic MOS | 276.923 | 415.385 | 461.5385 | 738.4615 | 876.923 | 1153.846 | |
| 27edo | 5:4:2
7:2:1 |
Also has diatonic MOS | 222.222
311.111 |
400 | 488.889
444.444 |
711.111
755.556 |
888.889
844.444 |
1111.111
1155.556 | |
| 28edo | 6:3:2
6:4:1 |
257.143 | 385.714
428.571 |
471.429 | 728.571 | 857.143
900 |
1114.286
1157.143 | ||
| 29edo | 5:4:3
7:3:1 |
Gentle fifth
Also has diatonic MOS |
206.897
289.655 |
372.414
413.793 |
496.551
455.172 |
703.449
745.828 |
868.9655 | 1075.862
1158.721 | |
| 30edo | 6:5:1
8:2:1 |
240
320 |
440
400 |
480
440 |
720
760 |
920
840 |
1160 | ||
| 31edo | 7:3:2
7:4:1 |
Also has diatonic MOS | 270.968 | 386.314
425.8065 |
464.516 | 735.484 | 851.613
890.323 |
1122.581
1161.29 | |
| 32edo | 6:4:3
6:5:2 8:3:1 |
Also has diatonic MOS | 225
300 |
375
412.5 |
487.5
450 |
712.5
750 |
862.5
900 |
1087.5
1125 1162.5 | |
| 33edo | 7:4:2
7:5:1 |
13/11 | Also has diatonic MOS | 254.5455 | 400
436.364 |
472.727 | 727.272 | 872.727
909.091 |
1127.273
1163.636 |
| 34edo | 6:5:3
8:3:2 8:4:1 |
25/24
50/49 |
Gentle fifth
Also has neutral diatonic MOS |
211.765
282.353 |
388.235
423.529 |
494.118
458.8235 |
705.882
741.1765 |
882.353
847.059 |
1094.118
1129.412 1164.706 |
| 35edo | 7:4:3
7:5:2 7:6:1 |
33/26 | 240 | 377.143
411.429 445.714 |
480 | 720 | 857.143
891.429 925.714 |
1097.143
1131.429 1165.714 | |
| 36edo | 6:5:4 | 27/25 | Also has Porcupine MOS | 200 | 366.667 | 500 | 700 | 866.667 | 1066.667 |
| 37edo | 7:5:3
7:6:2 |
Has 37edo just major triad | 227.027 | 389.189 | 486.4865 | 713.5135 | 875.676 | 1102.703 | |
| 38edo | 8:4:3
8:5:2 8:6:1 |
6/5, 33/26 and 14/13 or 28/27 | Has wolf major and minor triads
Also has neutral diatonic MOS |
252.632 | 378.947
410.526 442.105 |
473.684 | 726.318 | 852.632
884.2105 915.7895 |
1105.263
1136.842 1168.421 |
| 39edo | 7:5:4
7:6:3 |
Also has diatonic MOS | 215.385 | 369.231
400 |
492.308 | 707.692 | 861.5385
892.308 |
1076.923
1107. | |
| 40edo | 8:5:3
8:7:1 |
Golden Nicetone
Also has diatonic MOS |
240 | 390
450 |
480 | 720 | 870
930 |
1110
1170 | |
| 41edo | 7:6:4 | Also has diatonic MOS | 204.878 | 380.488 | 497.561 | 702.439 | 878.049 | 1082.927 | |
| 42edo | 8:5:4
8:6:3 8:7:2 |
6/5 | Also has diatonic MOS | 228.571 | 371.429
400 428.571 |
485.714 | 714.286 | 857.143
885.714 914.286 |
1085.714
1114.286 1142.857 |
| 43edo | 7:6:5 | Also has diatonic MOS | 195.349 | 362.791 | 502.326 | 697.674 | 865.116 | 1060.465 | |
| 44edo | 8:7:3 | Also has neutral diatonic MOS | 218.182 | 409.091 | 490.909 | 709.091 | 900 | 1118.182 | |
| 46edo | 8:6:5
8:7:4 |
10/9 | Gentle fifth
Also has diatonic MOS |
208.696 | 365.217
391.304 |
495.652 | 704.348 | 860.87
886.9565 |
1069.565
1095.652 |
| 48edo | 8:7:5 | 200 | 375 | 500 | 700 | 875 | 1075 | ||
| 50edo | 8:7:6 | Also has diatonic MOS | 192 | 360 | 504 | 696 | 864 | 1056 | |