Nicetone: Difference between revisions
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Nicetone (also known as the Zarlino pattern) is a 7-note [[Maximum variety|Maximum variety 3]] scale with the step pattern 3L2M2S. Nicetone is a [[Chirality|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''' (also known as the '''Zarlino pattern''' or '''Ptolemaic-Auric diatonic''') is a 7-note [[Maximum variety|Maximum variety 3]] scale with the step pattern 3L2M2S. Nicetone is a [[Chirality|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 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 | Nicetone is intermediate between the [[5L 2s]] diatonic scale and the [[3L 4s]] neutral scale. | ||
== Modes == | == Modes == | ||
Nicetone has 14 modes total, with 7 LH and 7 RH modes. The names are based on their diatonic ( | 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. | The modes are arranged by brightest to darkest. | ||
| Line 61: | Line 59: | ||
! colspan="6" |Degrees | ! colspan="6" |Degrees | ||
|- | |- | ||
!D | !D(9/8) | ||
!vE(5/4) | |||
!F(4/3) | |||
!G(3/2) | |||
!vA(5/3) | |||
!vB(15/8) | |||
|- | |- | ||
| | |JI | ||
|1.825:1.6325:1 | |(~1.825):(~1.6325):1 | ||
|Just 9/8, 5/4 and 4/3 | |Just 9/8, 5/4 and 4/3 | ||
| | | | ||
| Line 90: | Line 77: | ||
|1088.269 | |1088.269 | ||
|- | |- | ||
|15edo | |[[15edo]] | ||
|3:2:1 | |3:2:1 | ||
| | | | ||
| Line 101: | Line 88: | ||
|1120 | |1120 | ||
|- | |- | ||
|18edo | |[[18edo]] | ||
|4:2:1 | |4:2:1 | ||
| | | | ||
| Line 111: | Line 98: | ||
|1133.333 | |1133.333 | ||
|- | |- | ||
|20edo | |[[20edo]] | ||
|4:3:1 | |4:3:1 | ||
| | | | ||
| Line 122: | Line 109: | ||
|1140 | |1140 | ||
|- | |- | ||
|21edo | |[[21edo]] | ||
|5:2:1 | |5:2:1 | ||
| | | | ||
| Line 133: | Line 120: | ||
|1142.857 | |1142.857 | ||
|- | |- | ||
|22edo | |[[22edo]] | ||
|4:3:2 | |4:3:2 | ||
| | | | ||
| Line 144: | Line 131: | ||
|1090.909 | |1090.909 | ||
|- | |- | ||
|23edo | |[[23edo]] | ||
|5:3:1 | |5:3:1 | ||
|14/11 | |14/11 | ||
| Line 155: | Line 142: | ||
|1147.826 | |1147.826 | ||
|- | |- | ||
|24edo | |[[24edo]] | ||
|6:2:1 | |6:2:1 | ||
| | | | ||
| Line 166: | Line 153: | ||
|1050 | |1050 | ||
|- | |- | ||
|25edo | |[[25edo]] | ||
|5:3:2 | |5:3:2 | ||
5:4:1 | 5:4:1 | ||
| Line 180: | Line 167: | ||
|1104 | |1104 | ||
|- | |- | ||
|26edo | |[[26edo]] | ||
|6:3:1 | |6:3:1 | ||
| | | | ||
| Line 191: | Line 178: | ||
|1153.846 | |1153.846 | ||
|- | |- | ||
|27edo | |[[27edo]] | ||
|5:4:2 | |5:4:2 | ||
7:2:1 | 7:2:1 | ||
| Line 208: | Line 195: | ||
1155.556 | 1155.556 | ||
|- | |- | ||
|28edo | |[[28edo]] | ||
|6:3:2 | |6:3:2 | ||
6:4:1 | 6:4:1 | ||
| Line 223: | Line 210: | ||
1157.143 | 1157.143 | ||
|- | |- | ||
|29edo | |[[29edo]] | ||
|5:4:3 | |5:4:3 | ||
7:3:1 | 7:3:1 | ||
| Line 241: | Line 228: | ||
1158.721 | 1158.721 | ||
|- | |- | ||
|30edo | |[[30edo]] | ||
|6:5:1 | |6:5:1 | ||
8:2:1 | 8:2:1 | ||
| Line 258: | Line 245: | ||
|1160 | |1160 | ||
|- | |- | ||
|31edo | |[[31edo]] | ||
|7:3:2 | |7:3:2 | ||
7:4:1 | 7:4:1 | ||
| Line 273: | Line 260: | ||
1161.29 | 1161.29 | ||
|- | |- | ||
|32edo | |[[32edo]] | ||
|6:4:3 | |6:4:3 | ||
6:5:2 | 6:5:2 | ||
| Line 295: | Line 282: | ||
1162.5 | 1162.5 | ||
|- | |- | ||
|33edo | |[[33edo]] | ||
|7:4:2 | |7:4:2 | ||
7:5:1 | 7:5:1 | ||
| Line 310: | Line 297: | ||
1163.636 | 1163.636 | ||
|- | |- | ||
|34edo | |[[34edo]] | ||
|6:5:3 | |6:5:3 | ||
8:3:2 | 8:3:2 | ||
| Line 334: | Line 321: | ||
1164.706 | 1164.706 | ||
|- | |- | ||
|35edo | |[[35edo]] | ||
|7:4:3 | |7:4:3 | ||
7:5:2 | 7:5:2 | ||
| Line 357: | Line 344: | ||
1165.714 | 1165.714 | ||
|- | |- | ||
|36edo | |[[36edo]] | ||
|6:5:4 | |6:5:4 | ||
|27/25 | |27/25 | ||
| Line 368: | Line 355: | ||
|1066.667 | |1066.667 | ||
|- | |- | ||
|37edo | |[[37edo]] | ||
|7:5:3 | |7:5:3 | ||
7:6:2 | 7:6:2 | ||
| Line 380: | Line 367: | ||
|1102.703 | |1102.703 | ||
|- | |- | ||
|38edo | |[[38edo]] | ||
|8:4:3 | |8:4:3 | ||
8:5:2 | 8:5:2 | ||
| Line 404: | Line 391: | ||
1168.421 | 1168.421 | ||
|- | |- | ||
|39edo | |[[39edo]] | ||
|7:5:4 | |7:5:4 | ||
7:6:3 | 7:6:3 | ||
| Line 419: | Line 406: | ||
1107. | 1107. | ||
|- | |- | ||
|40edo | |[[40edo]] | ||
|8:5:3 | |8:5:3 | ||
8:7:1 | 8:7:1 | ||
| Line 435: | Line 422: | ||
1170 | 1170 | ||
|- | |- | ||
|41edo | |[[41edo]] | ||
|7:6:4 | |7:6:4 | ||
| | | | ||
| Line 446: | Line 433: | ||
|1082.927 | |1082.927 | ||
|- | |- | ||
|42edo | |[[42edo]] | ||
|8:5:4 | |8:5:4 | ||
8:6:3 | 8:6:3 | ||
| Line 469: | Line 456: | ||
1142.857 | 1142.857 | ||
|- | |- | ||
|43edo | |[[43edo]] | ||
|7:6:5 | |7:6:5 | ||
| | | | ||
| Line 480: | Line 467: | ||
|1060.465 | |1060.465 | ||
|- | |- | ||
|44edo | |[[44edo]] | ||
|8:7:3 | |8:7:3 | ||
| | | | ||
| Line 491: | Line 478: | ||
|1118.182 | |1118.182 | ||
|- | |- | ||
|46edo | |[[46edo]] | ||
|8:6:5 | |8:6:5 | ||
8:7:4 | 8:7:4 | ||
| Line 507: | Line 494: | ||
1095.652 | 1095.652 | ||
|- | |- | ||
|48edo | |[[48edo]] | ||
|8:7:5 | |8:7:5 | ||
| | | | ||
| Line 518: | Line 505: | ||
|1075 | |1075 | ||
|- | |- | ||
|50edo | |[[50edo]] | ||
|8:7:6 | |8:7:6 | ||
| | | | ||
| Line 531: | Line 518: | ||
== See also == | == See also == | ||
[[Blackdye]], a 10-note scale that is an extension to nicetone. | * [[Blackdye]], a 10-note scale that is an extension to nicetone. | ||
* [[Zarlino]], a 5-limit JI scale with the same pattern. | |||
* [[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 | |||
[[Category:Rank-3 scales]] | [[Category:Rank-3 scales]] | ||
[[Category:7-tone scales]] | |||
[[Category:GO scales]] | |||
Revision as of 13:19, 17 May 2023
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.
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 | |