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]] | |||