Nicetone
Nicetone (also known as the Zarlino pattern or Ptolemaic diatonic) is a 7-note maximum-variety-3 scale with the step signature 3L 2M 2s. Nicetone is a chiral scale with left-handed (LH, step pattern LMLsMLs) and right-handed (RH, step pattern 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 3L 2M 2s. It's also a subset of the 5L 2m 3s 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 |
---|---|---|---|
Ptolemaic | 3L 2M 2s | 9\53, 8\53, 5\53 | ├────────┼───────┼────┼────────┼───────┼────────┼────┤ |
Pythagorean | 5L 2s | 9\53, 4\53 | ├────────┼────────┼───┼────────┼────────┼────────┼───┤ |
Meantone, 1⁄5 comma |
7\43, 4\43 | ├──────┼──────┼───┼──────┼──────┼──────┼───┤ |
Name | Structure | Step Sizes | Graphical Representation |
---|---|---|---|
Mosh | 3L 4s | 7\33, 3\33 | ├──┼──────┼──┼──────┼──┼──┼──────┤ |
Nicetone | 3L 2M 2s | 7\33, 4\33, 2\33 | ├───┼──────┼─┼──────┼───┼─┼──────┤ |
Antipentic | 3L 2s | 7\33, 6\33 | ├─────┼──────┼──────┼─────┼──────┤ |
Intervals
The following is a table of nicetone intervals and their abstract sizes in terms of L, M and s. Given concrete sizes of L, M and s in EDO steps or cents, you can compute the concrete size of any interval in nicetone using the following expressions.
Interval class | Sizes | 5-limit JI | 15edo (L:M:s = 3:2:1) |
41edo (L:M:s = 7:6:4) | |
---|---|---|---|---|---|
Second (1-step) |
small | s | 16/15, 111.73¢ | 1\15, 80.00¢ | 4\41, 117.07¢ |
medium | M | 10/9, 182.40¢ | 2\15, 160.00¢ | 6\41, 175.61¢ | |
large | L | 9/8, 203.91¢ | 3\15, 240.00¢ | 7\41, 204.88¢ | |
Third (2-step) |
small | M + s | 32/27, 294.13¢ | 3\15, 240.00¢ | 10\41, 292.68¢ |
medium | L + s | 6/5, 315.64¢ | 4\15, 320.00¢ | 11\41, 321.95¢ | |
large | L + M | 5/4, 386.31¢ | 5\15, 400.00¢ | 13\41, 380.49¢ | |
Fourth (3-step) |
small | L + M + s | 4/3, 498.04¢ | 6\15, 480.00¢ | 17\41, 497.56¢ |
medium | 2L + s | 27/20, 519.55¢ | 7\15, 560.00¢ | 18\41, 526.83¢ | |
large | 2L + M | 45/32, 590.22¢ | 8\15, 640.00¢ | 20\41, 585.37¢ | |
Fifth (4-step) |
small | L + M + 2s | 64/45, 609.78¢ | 7\15, 560.00¢ | 21\41, 614.63¢ |
medium | L + 2M + s | 40/27, 680.45¢ | 8\15, 640.00¢ | 23\41, 673.17¢ | |
large | 2L + M + s | 3/2, 701.96¢ | 9\15, 720.00¢ | 24\41, 702.44¢ | |
Sixth (5-step) |
small | 2L + M + 2s | 8/5, 813.69¢ | 10\15, 800.00¢ | 28\41, 819.51¢ |
medium | 2L + 2M + s | 5/3, 884.36¢ | 11\15, 880.00¢ | 30\41, 878.05¢ | |
large | 3L + M + s | 27/16, 905.87¢ | 12\15, 960.00¢ | 31\41, 907.32¢ | |
Seventh (6-step) |
small | 2L + 2M + 2s | 16/9, 996.09¢ | 12\15, 960.00¢ | 34\41, 995.12¢ |
medium | 3L + M + 2s | 9/5, 1017.60¢ | 13\15, 1040.00¢ | 35\41, 1024.39¢ | |
large | 3L + 2M + s | 15/8, 1088.27¢ | 14\15, 1120.00¢ | 37\41, 1082.93¢ |
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 Nice-Lydian |
LMLsLMs RH Nice-Lydian |
MLsLMLs LH Nice-Ionian |
LMsLMLs RH Nice-Ionian |
MLsMLsL LH Nice-Mixolydian |
MLsLMsL RH Nice-Mixolydian |
LsLMLsM LH Nice-Dorian |
MsLMLsL RH Nice-Dorian |
LsMLsLM LH Nice-Aeolian |
LsLMsLM RH Nice-Aeolian |
sLMLsML LH Nice-Phrygian |
sLMLsLM RH Nice-Phrygian |
sMLsLML LH Nice-Locrian |
sLMsLML RH Nice-Locrian |
Tunings
Tuning range (in octaves) | |
---|---|
Outer generator (G1 = 2L + M + s) |
[math]\displaystyle \frac{4}{7} < G_\text{1} < \frac{2}{3}[/math] |
RH inner generator (G2R = L + M) |
[math]\displaystyle \frac{1}{2} G_\text{1} < G_\text{2R} < 4 G_\text{1} - 2 \text{ for } \frac{4}{7} < G_\text{1} ≤ \frac{3}{5}[/math] [math]\displaystyle \frac{1}{2} G_\text{1} < G_\text{2R} < 1 - G_\text{1} \text{ for }\frac{3}{5} ≤ G_\text{1} < \frac{2}{3}[/math] |
LH inner generator (G2L = L + s) |
[math]\displaystyle 2 - 3 G_\text{1} < G_\text{2L} < \frac{1}{2} G_\text{1} \text{ for }\frac{4}{7} < G_\text{1} ≤ \frac{3}{5}[/math] [math]\displaystyle 2 G_\text{1} - 1 < G_\text{2L} < \frac{1}{2} G_\text{1} \text{ for }\frac{3}{5} ≤ G_\text{1} < \frac{2}{3}[/math] |
Large step (L = 2G1 - 1) |
[math]\displaystyle \frac{1}{7} < L < \frac{1}{3}[/math] |
Middle step (M = 1 - G1 - G2L) |
[math]\displaystyle \frac{1}{4} (1 - 3 L) < M < L \text{ for } \frac{1}{7} < L ≤ \frac{1}{5}[/math] [math]\displaystyle \frac{1}{4} (1 - 3 L) < M < \frac{1}{2} (1 - 3 L) \text{ for } \frac{1}{5} ≤ L < \frac{1}{3}[/math] |
Small step (s = 1 - G1 - G2R) |
[math]\displaystyle \frac{1}{2} (1 - 5 L) < s < \frac{1}{4} (1 - 3 L) \text{ for } \frac{1}{7} < L ≤ \frac{1}{5}[/math] [math]\displaystyle 0 < s < \frac{1}{4} (1 - 3 L) \text{ for } \frac{1}{5} ≤ L < \frac{1}{3}[/math] |
Tuning | L:M:s | Size of step (¢) | Inner generator | Outer generator (2L+M+s) |
Comments | |||
---|---|---|---|---|---|---|---|---|
L | M | s | LH (L+s) | RH (L+M) | ||||
5-limit JI | 203.910 | 182.404 | 111.731 | 315.641 | 386.314 | 701.955 | L=9/8, M=10/9, s=16/15 | |
15edo | 3:2:1 | 240.000 | 160.000 | 80.000 | 320.000 | 400.000 | 720.000 | 5-limit patent val |
18edo | 4:2:1 | 266.667 | 133.333 | 66.667 | 333.333 | 400.000 | 733.333 | 5-limit patent val |
20edo | 4:3:1 | 240.000 | 180.000 | 60.000 | 300.000 | 420.000 | 720.000 | |
21edo | 5:2:1 | 285.714 | 114.286 | 57.143 | 342.857 | 400.000 | 742.857 | |
22edo | 4:3:2 | 218.182 | 163.636 | 109.091 | 327.273 | 381.818 | 709.091 | 5-limit patent val |
23edo | 5:3:1 | 260.870 | 156.522 | 52.174 | 313.043 | 417.391 | 730.435 | |
24edo | 6:2:1 | 300.000 | 100.000 | 50.000 | 350.000 | 400.000 | 750.000 | |
25edo | 5:3:2 | 240.000 | 144.000 | 96.000 | 336.000 | 384.000 | 720.000 | 5-limit patent val |
5:4:1 | 240.000 | 192.000 | 48.000 | 288.000 | 432.000 | 720.000 | ||
26edo | 6:3:1 | 276.923 | 138.462 | 46.154 | 323.077 | 415.385 | 738.462 | |
27edo | 5:4:2 | 222.222 | 177.778 | 88.889 | 311.111 | 400.000 | 711.111 | 5-limit patent val |
7:2:1 | 311.111 | 88.889 | 44.444 | 355.556 | 400.000 | 755.556 | ||
28edo | 6:3:2 | 257.143 | 128.571 | 85.714 | 342.857 | 385.714 | 728.571 | |
6:4:1 | 257.143 | 171.429 | 42.857 | 300.000 | 428.571 | 728.571 | ||
29edo | 5:4:3 | 206.897 | 165.517 | 124.138 | 331.034 | 372.414 | 703.448 | 5-limit patent val |
7:3:1 | 289.655 | 124.138 | 41.379 | 331.034 | 413.793 | 744.828 | ||
30edo | 6:5:1 | 240.000 | 200.000 | 40.000 | 280.000 | 440.000 | 720.000 | |
8:2:1 | 320.000 | 80.000 | 40.000 | 360.000 | 400.000 | 760.000 | ||
31edo | 7:3:2 | 270.968 | 116.129 | 77.419 | 348.387 | 387.097 | 735.484 | |
7:4:1 | 270.968 | 154.839 | 38.710 | 309.677 | 425.806 | 735.484 | ||
32edo | 6:4:3 | 225.000 | 150.000 | 112.500 | 337.500 | 375.000 | 712.500 | 5-limit patent val |
6:5:2 | 225.000 | 187.500 | 75.000 | 300.000 | 412.500 | 712.500 | ||
8:3:1 | 300.000 | 112.500 | 37.500 | 337.500 | 412.500 | 750.000 | ||
33edo | 7:4:2 | 254.545 | 145.455 | 72.727 | 327.273 | 400.000 | 727.273 | |
7:5:1 | 254.545 | 181.818 | 36.364 | 290.909 | 436.364 | 727.273 | ||
9:2:1 | 327.273 | 72.727 | 36.364 | 363.636 | 400.000 | 763.636 | ||
34edo | 6:5:3 | 211.765 | 176.471 | 105.882 | 317.647 | 388.235 | 705.882 | 5-limit patent val |
8:3:2 | 282.353 | 105.882 | 70.588 | 352.941 | 388.235 | 741.176 | ||
8:4:1 | 282.353 | 141.176 | 35.294 | 317.647 | 423.529 | 741.176 | ||
35edo | 7:4:3 | 240.000 | 137.143 | 102.857 | 342.857 | 377.143 | 720.000 | |
7:5:2 | 240.000 | 171.429 | 68.571 | 308.571 | 411.429 | 720.000 | ||
7:6:1 | 240.000 | 205.714 | 34.286 | 274.286 | 445.714 | 720.000 | ||
9:3:1 | 308.571 | 102.857 | 34.286 | 342.857 | 411.429 | 754.286 | ||
36edo | 6:5:4 | 200.000 | 166.667 | 133.333 | 333.333 | 366.667 | 700.000 | |
8:5:1 | 266.667 | 166.667 | 33.333 | 300.000 | 433.333 | 733.333 | ||
10:2:1 | 333.333 | 66.667 | 33.333 | 366.667 | 400.000 | 766.667 | ||
37edo | 7:5:3 | 227.027 | 162.162 | 97.297 | 324.324 | 389.189 | 713.514 | 5-limit patent val |
7:6:2 | 227.027 | 194.595 | 64.865 | 291.892 | 421.622 | 713.514 | ||
9:3:2 | 291.892 | 97.297 | 64.865 | 356.757 | 389.189 | 745.946 | ||
9:4:1 | 291.892 | 129.730 | 32.432 | 324.324 | 421.622 | 745.946 | ||
38edo | 8:4:3 | 252.632 | 126.316 | 94.737 | 347.368 | 378.947 | 726.316 | |
8:5:2 | 252.632 | 157.895 | 63.158 | 315.789 | 410.526 | 726.316 | ||
8:6:1 | 252.632 | 189.474 | 31.579 | 284.211 | 442.105 | 726.316 | ||
10:3:1 | 315.789 | 94.737 | 31.579 | 347.368 | 410.526 | 757.895 | ||
39edo | 7:5:4 | 215.385 | 153.846 | 123.077 | 338.462 | 369.231 | 707.692 | |
7:6:3 | 215.385 | 184.615 | 92.308 | 307.692 | 400.000 | 707.692 | 5-limit patent val | |
9:4:2 | 276.923 | 123.077 | 61.538 | 338.462 | 400.000 | 738.462 | ||
9:5:1 | 276.923 | 153.846 | 30.769 | 307.692 | 430.769 | 738.462 | ||
11:2:1 | 338.462 | 61.538 | 30.769 | 369.231 | 400.000 | 769.231 | ||
40edo | 8:5:3 | 240.000 | 150.000 | 90.000 | 330.000 | 390.000 | 720.000 | |
8:7:1 | 240.000 | 210.000 | 30.000 | 270.000 | 450.000 | 720.000 | ||
10:3:2 | 300.000 | 90.000 | 60.000 | 360.000 | 390.000 | 750.000 | ||
10:4:1 | 300.000 | 120.000 | 30.000 | 330.000 | 420.000 | 750.000 | ||
41edo | 7:6:4 | 204.878 | 175.610 | 117.073 | 321.951 | 380.488 | 702.439 | 5-limit patent val |
9:4:3 | 263.415 | 117.073 | 87.805 | 351.220 | 380.488 | 731.707 | ||
9:5:2 | 263.415 | 146.341 | 58.537 | 321.951 | 409.756 | 731.707 | ||
9:6:1 | 263.415 | 175.610 | 29.268 | 292.683 | 439.024 | 731.707 | ||
11:3:1 | 321.951 | 87.805 | 29.268 | 351.220 | 409.756 | 760.976 | ||
42edo | 8:5:4 | 228.571 | 142.857 | 114.286 | 342.857 | 371.429 | 714.286 | |
8:6:3 | 228.571 | 171.429 | 85.714 | 314.286 | 400.000 | 714.286 | 5-limit patent val | |
8:7:2 | 228.571 | 200.000 | 57.143 | 285.714 | 428.571 | 714.286 | ||
10:5:1 | 285.714 | 142.857 | 28.571 | 314.286 | 428.571 | 742.857 | ||
12:2:1 | 342.857 | 57.143 | 28.571 | 371.429 | 400.000 | 771.429 | ||
43edo | 7:6:5 | 195.349 | 167.442 | 139.535 | 334.884 | 362.791 | 697.674 | |
9:5:3 | 251.163 | 139.535 | 83.721 | 334.884 | 390.698 | 725.581 | ||
9:6:2 | 251.163 | 167.442 | 55.814 | 306.977 | 418.605 | 725.581 | ||
9:7:1 | 251.163 | 195.349 | 27.907 | 279.070 | 446.512 | 725.581 | ||
11:3:2 | 306.977 | 83.721 | 55.814 | 362.791 | 390.698 | 753.488 | ||
11:4:1 | 306.977 | 111.628 | 27.907 | 334.884 | 418.605 | 753.488 | ||
44edo | 8:7:3 | 218.182 | 190.909 | 81.818 | 300.000 | 409.091 | 709.091 | |
10:4:3 | 272.727 | 109.091 | 81.818 | 354.545 | 381.818 | 736.364 | ||
10:5:2 | 272.727 | 136.364 | 54.545 | 327.273 | 409.091 | 736.364 | ||
10:6:1 | 272.727 | 163.636 | 27.273 | 300.000 | 436.364 | 736.364 | ||
12:3:1 | 327.273 | 81.818 | 27.273 | 354.545 | 409.091 | 763.636 | ||
45edo | 9:5:4 | 240.000 | 133.333 | 106.667 | 346.667 | 373.333 | 720.000 | |
9:7:2 | 240.000 | 186.667 | 53.333 | 293.333 | 426.667 | 720.000 | ||
9:8:1 | 240.000 | 213.333 | 26.667 | 266.667 | 453.333 | 720.000 | ||
11:4:2 | 293.333 | 106.667 | 53.333 | 346.667 | 400.000 | 746.667 | ||
11:5:1 | 293.333 | 133.333 | 26.667 | 320.000 | 426.667 | 746.667 | ||
13:2:1 | 346.667 | 53.333 | 26.667 | 373.333 | 400.000 | 773.333 | ||
46edo | 8:6:5 | 208.696 | 156.522 | 130.435 | 339.130 | 365.217 | 704.348 | |
8:7:4 | 208.696 | 182.609 | 104.348 | 313.043 | 391.304 | 704.348 | 5-limit patent val | |
10:5:3 | 260.870 | 130.435 | 78.261 | 339.130 | 391.304 | 730.435 | ||
10:7:1 | 260.870 | 182.609 | 26.087 | 286.957 | 443.478 | 730.435 | ||
12:3:2 | 313.043 | 78.261 | 52.174 | 365.217 | 391.304 | 756.522 | ||
12:4:1 | 313.043 | 104.348 | 26.087 | 339.130 | 417.391 | 756.522 | ||
47edo | 9:6:4 | 229.787 | 153.191 | 102.128 | 331.915 | 382.979 | 714.894 | |
9:7:3 | 229.787 | 178.723 | 76.596 | 306.383 | 408.511 | 714.894 | ||
9:8:2 | 229.787 | 204.255 | 51.064 | 280.851 | 434.043 | 714.894 | ||
11:4:3 | 280.851 | 102.128 | 76.596 | 357.447 | 382.979 | 740.426 | ||
11:5:2 | 280.851 | 127.660 | 51.064 | 331.915 | 408.511 | 740.426 | ||
11:6:1 | 280.851 | 153.191 | 25.532 | 306.383 | 434.043 | 740.426 | ||
13:3:1 | 331.915 | 76.596 | 25.532 | 357.447 | 408.511 | 765.957 | ||
48edo | 8:7:5 | 200.000 | 175.000 | 125.000 | 325.000 | 375.000 | 700.000 | 5-limit patent val |
10:5:4 | 250.000 | 125.000 | 100.000 | 350.000 | 375.000 | 725.000 | ||
10:6:3 | 250.000 | 150.000 | 75.000 | 325.000 | 400.000 | 725.000 | ||
10:7:2 | 250.000 | 175.000 | 50.000 | 300.000 | 425.000 | 725.000 | ||
10:8:1 | 250.000 | 200.000 | 25.000 | 275.000 | 450.000 | 725.000 | ||
12:5:1 | 300.000 | 125.000 | 25.000 | 325.000 | 425.000 | 750.000 | ||
14:2:1 | 350.000 | 50.000 | 25.000 | 375.000 | 400.000 | 775.000 | ||
49edo | 9:6:5 | 220.408 | 146.939 | 122.449 | 342.857 | 367.347 | 710.204 | |
9:7:4 | 220.408 | 171.429 | 97.959 | 318.367 | 391.837 | 710.204 | 5-limit patent val | |
9:8:3 | 220.408 | 195.918 | 73.469 | 293.878 | 416.327 | 710.204 | ||
11:5:3 | 269.388 | 122.449 | 73.469 | 342.857 | 391.837 | 734.694 | ||
11:6:2 | 269.388 | 146.939 | 48.980 | 318.367 | 416.327 | 734.694 | ||
11:7:1 | 269.388 | 171.429 | 24.490 | 293.878 | 440.816 | 734.694 | ||
13:3:2 | 318.367 | 73.469 | 48.980 | 367.347 | 391.837 | 759.184 | ||
13:4:1 | 318.367 | 97.959 | 24.490 | 342.857 | 416.327 | 759.184 | ||
50edo | 8:7:6 | 192.000 | 168.000 | 144.000 | 336.000 | 360.000 | 696.000 | |
10:7:3 | 240.000 | 168.000 | 72.000 | 312.000 | 408.000 | 720.000 | ||
10:9:1 | 240.000 | 216.000 | 24.000 | 264.000 | 456.000 | 720.000 | ||
12:4:3 | 288.000 | 96.000 | 72.000 | 360.000 | 384.000 | 744.000 | ||
12:5:2 | 288.000 | 120.000 | 48.000 | 336.000 | 408.000 | 744.000 | ||
12:6:1 | 288.000 | 144.000 | 24.000 | 312.000 | 432.000 | 744.000 | ||
14:3:1 | 336.000 | 72.000 | 24.000 | 360.000 | 408.000 | 768.000 | ||
51edo | 9:7:5 | 211.765 | 164.706 | 117.647 | 329.412 | 376.471 | 705.882 | 5-limit patent val |
9:8:4 | 211.765 | 188.235 | 94.118 | 305.882 | 400.000 | 705.882 | ||
11:5:4 | 258.824 | 117.647 | 94.118 | 352.941 | 376.471 | 729.412 | ||
11:6:3 | 258.824 | 141.176 | 70.588 | 329.412 | 400.000 | 729.412 | ||
11:7:2 | 258.824 | 164.706 | 47.059 | 305.882 | 423.529 | 729.412 | ||
11:8:1 | 258.824 | 188.235 | 23.529 | 282.353 | 447.059 | 729.412 | ||
13:4:2 | 305.882 | 94.118 | 47.059 | 352.941 | 400.000 | 752.941 | ||
13:5:1 | 305.882 | 117.647 | 23.529 | 329.412 | 423.529 | 752.941 | ||
15:2:1 | 352.941 | 47.059 | 23.529 | 376.471 | 400.000 | 776.471 | ||
52edo | 10:6:5 | 230.769 | 138.462 | 115.385 | 346.154 | 369.231 | 715.385 | |
10:7:4 | 230.769 | 161.538 | 92.308 | 323.077 | 392.308 | 715.385 | ||
10:8:3 | 230.769 | 184.615 | 69.231 | 300.000 | 415.385 | 715.385 | ||
10:9:2 | 230.769 | 207.692 | 46.154 | 276.923 | 438.462 | 715.385 | ||
12:5:3 | 276.923 | 115.385 | 69.231 | 346.154 | 392.308 | 738.462 | ||
12:7:1 | 276.923 | 161.538 | 23.077 | 300.000 | 438.462 | 738.462 | ||
14:3:2 | 323.077 | 69.231 | 46.154 | 369.231 | 392.308 | 761.538 | ||
14:4:1 | 323.077 | 92.308 | 23.077 | 346.154 | 415.385 | 761.538 | ||
53edo | 9:7:6 | 203.774 | 158.491 | 135.849 | 339.623 | 362.264 | 701.887 | |
9:8:5 | 203.774 | 181.132 | 113.208 | 316.981 | 384.906 | 701.887 | 5-limit patent val | |
11:6:4 | 249.057 | 135.849 | 90.566 | 339.623 | 384.906 | 724.528 | ||
11:7:3 | 249.057 | 158.491 | 67.925 | 316.981 | 407.547 | 724.528 | ||
11:8:2 | 249.057 | 181.132 | 45.283 | 294.340 | 430.189 | 724.528 | ||
11:9:1 | 249.057 | 203.774 | 22.642 | 271.698 | 452.830 | 724.528 | ||
13:4:3 | 294.340 | 90.566 | 67.925 | 362.264 | 384.906 | 747.170 | ||
13:5:2 | 294.340 | 113.208 | 45.283 | 339.623 | 407.547 | 747.170 | ||
13:6:1 | 294.340 | 135.849 | 22.642 | 316.981 | 430.189 | 747.170 | ||
15:3:1 | 339.623 | 67.925 | 22.642 | 362.264 | 407.547 | 769.811 | ||
54edo | 10:7:5 | 222.222 | 155.556 | 111.111 | 333.333 | 377.778 | 711.111 | 5-limit patent val |
10:9:3 | 222.222 | 200.000 | 66.667 | 288.889 | 422.222 | 711.111 | ||
12:5:4 | 266.667 | 111.111 | 88.889 | 355.556 | 377.778 | 733.333 | ||
12:7:2 | 266.667 | 155.556 | 44.444 | 311.111 | 422.222 | 733.333 | ||
12:8:1 | 266.667 | 177.778 | 22.222 | 288.889 | 444.444 | 733.333 | ||
14:5:1 | 311.111 | 111.111 | 22.222 | 333.333 | 422.222 | 755.556 | ||
16:2:1 | 355.556 | 44.444 | 22.222 | 377.778 | 400.000 | 777.778 |
Supersets
Nicetone has following generator-offset MV3 supersets:
- Sephipechroid: 13-note 3L 5M 5s scale (LMsMLsMsLMsMs and LMsMLsMsMLsMs)
- Interoneichro: 13-note 5L 3M 5s scale (LMsLsLMsLsMLs and LMsLsMLsLsMLs)
- Sephimechroid: 13-note 5L 5M 3s scale (LMLMsLMLsMLMs and LMLsMLMLsMLMs)
- Beatloid: 17-note 5L 5M 7s scale (LMsLsMLsMsLMsLsMs and LMsLsMLsMsLsMLsMs)
- Enharoid: 17-note 5L 7M 5s scale (LMsLMsMLMsLMsMLsM and LMsLMsMLsMLMsMLsM)
- Moharoid: 17-note 7L 5M 5s scale (LMLsLMsLMLsMLsLMs and LMLsMLsLMLsMLsLMs)
Remarkable non-MV3 generator-offset supersets include blackdye (10-note, LmLsLmLsLs).
See also
- Blackdye – a 10-note scale that is an extension to nicetone.
- Zarlino – a 5-limit JI scale with the same pattern.
- Omnidiatonic – sister 2L 3M 2s scale
- Antinicetone – sister 2L 2M 3s scale
- 5L 2s – LM-equalized version of nicetone
- 5L 2s Muddles – other diatonic muddles
- 3L 4s – MS-equalized version of nicetone
- 3L 2s – collapsed version of nicetone