Nicepent: Difference between revisions
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Line 20: | Line 20: | ||
| [[13edo]] || 4:3:1 || 369.231 || 276.923 || 92.308 || 5-limit patent val | | [[13edo]] || 4:3:1 || 369.231 || 276.923 || 92.308 || 5-limit patent val | ||
|- | |- | ||
| [[14edo]] || 5:2:1 || 428.571 || 171.429 || 85.714 || | | [[14edo]] || 5:2:1 || 428.571 || 171.429 || 85.714 || 14ccc val | ||
|- | |- | ||
| rowspan="2" | [[15edo]] || 4:3:2 || 320.000 || 240.000 || 160.000 || 5-limit patent val | | rowspan="2" | [[15edo]] || 4:3:2 || 320.000 || 240.000 || 160.000 || 5-limit patent val | ||
Line 28: | Line 28: | ||
| rowspan="2" | [[16edo]] || 5:4:1 || 375.000 || 300.000 || 75.000 || 16b val | | rowspan="2" | [[16edo]] || 5:4:1 || 375.000 || 300.000 || 75.000 || 16b val | ||
|- | |- | ||
| 6:2:1 || 450.000 || 150.000 || 75.000 || | | 6:2:1 || 450.000 || 150.000 || 75.000 || 16cccc val | ||
|- | |- | ||
| rowspan="2" | [[17edo]] || 5:3:2 || 352.941 || 211.765 || 141.176 || 5-limit patent val | | rowspan="2" | [[17edo]] || 5:3:2 || 352.941 || 211.765 || 141.176 || 5-limit patent val | ||
|- | |- | ||
| 6:3:1 || 423.529 || 211.765 || 70.588 || | | 6:3:1 || 423.529 || 211.765 || 70.588 || 17cc val | ||
|- | |- | ||
| rowspan="3" | [[18edo]] || 5:4:2 || 333.333 || 266.667 || 133.333 || 5-limit patent val | | rowspan="3" | [[18edo]] || 5:4:2 || 333.333 || 266.667 || 133.333 || 5-limit patent val | ||
Line 38: | Line 38: | ||
| 6:4:1 || 400.000 || 266.667 || 66.667 || 18c val | | 6:4:1 || 400.000 || 266.667 || 66.667 || 18c val | ||
|- | |- | ||
| 7:2:1 || 466.667 || 133.333 || 66.667 || | | 7:2:1 || 466.667 || 133.333 || 66.667 || 18bccccc val | ||
|- | |- | ||
| rowspan="3" | [[19edo]] || 6:3:2 || 378.947 || 189.474 || 126.316 || 19cc val | | rowspan="3" | [[19edo]] || 6:3:2 || 378.947 || 189.474 || 126.316 || 19cc val | ||
Line 44: | Line 44: | ||
| 6:5:1 || 378.947 || 315.789 || 63.158 || 19bcc val | | 6:5:1 || 378.947 || 315.789 || 63.158 || 19bcc val | ||
|- | |- | ||
| 7:3:1 || 442.105 || 189.474 || 63.158 || | | 7:3:1 || 442.105 || 189.474 || 63.158 || 19cccc val | ||
|- | |- | ||
| rowspan="3" | [[20edo]] || 5:4:3 || 300.000 || 240.000 || 180.000 || 20c val | | rowspan="3" | [[20edo]] || 5:4:3 || 300.000 || 240.000 || 180.000 || 20c val | ||
Line 50: | Line 50: | ||
| 7:4:1 || 360.000 || 240.000 || 60.000 || 20cc val | | 7:4:1 || 360.000 || 240.000 || 60.000 || 20cc val | ||
|- | |- | ||
| 8:2:1 || 420.000 || 120.000 || 60.000 || | | 8:2:1 || 420.000 || 120.000 || 60.000 || 20bcccccc val | ||
|- | |- | ||
| rowspan="4" | [[21edo]] || 6:5:2 || 347.857 || 285.714 || 114.286 || 21b val | | rowspan="4" | [[21edo]] || 6:5:2 || 347.857 || 285.714 || 114.286 || 21b val | ||
|- | |- | ||
| 7:3:2 || 400.000 || 171.429 || 114.286 || | | 7:3:2 || 400.000 || 171.429 || 114.286 || 21ccc val | ||
|- | |- | ||
| 7:5:1 || 400.000 || 285.714 || 57.143 || | | 7:5:1 || 400.000 || 285.714 || 57.143 || 21bc val | ||
|- | |- | ||
| 8:3:1 || 457.143 || 171.429 || 57.143 || | | 8:3:1 || 457.143 || 171.429 || 57.143 || 21ccccc val | ||
|- | |- | ||
| rowspan="5" | [[22edo]] || 6:4:3 || 327.273 || 218.182 || 163.636 || 5-limit patent val | | rowspan="5" | [[22edo]] || 6:4:3 || 327.273 || 218.182 || 163.636 || 5-limit patent val | ||
|- | |- | ||
| 7:4:2 || 381.818 || 218.182 || 109.091 || | | 7:4:2 || 381.818 || 218.182 || 109.091 || 22cc val | ||
|- | |- | ||
| 7:6:1 || 381.818 || 327.273 || 54.545 || | | 7:6:1 || 381.818 || 327.273 || 54.545 || 22bb val | ||
|- | |- | ||
| 8:4:1 || 436.364 || 218.182 || 54.545 || | | 8:4:1 || 436.364 || 218.182 || 54.545 || 22cccc val | ||
|- | |- | ||
| 9:2:1 || 490.909 || 109.091 || 54.545 || | | 9:2:1 || 490.909 || 109.091 || 54.545 || 22bcccccccc val | ||
|- | |- | ||
|} | |} |
Revision as of 08:46, 24 December 2024
Nicepent is a 5-note scale with the step signature 2L 1M 2s. It is also chiral, which means that there are two distinct variations of the scale, left-hand (LH) and right-hand (RH). The name was suggested by Fitzgerald Lee as it is the pentatonic predecessor to nicetone (3L 2M 2s). The first edo that supports it is 10edo.
Nicepent can also be tuned as a 5-limit JI scale where L = 6/5, M = 9/8 and s = 10/9.
Tunings
Tuning | L:M:s | Step sizes (¢) | Comments | ||
---|---|---|---|---|---|
L | M | s | |||
5-limit JI | Approx. 14:9:8 | 315.641 | 203.910 | 182.404 | L = 6/5, M = 9/8, s = 10/9 |
10edo | 3:2:1 | 360.000 | 240.000 | 120.000 | 5-limit patent val |
12edo | 4:2:1 | 400.000 | 200.000 | 100.000 | 12c val |
13edo | 4:3:1 | 369.231 | 276.923 | 92.308 | 5-limit patent val |
14edo | 5:2:1 | 428.571 | 171.429 | 85.714 | 14ccc val |
15edo | 4:3:2 | 320.000 | 240.000 | 160.000 | 5-limit patent val |
5:3:1 | 400.000 | 240.000 | 80.000 | 15c val | |
16edo | 5:4:1 | 375.000 | 300.000 | 75.000 | 16b val |
6:2:1 | 450.000 | 150.000 | 75.000 | 16cccc val | |
17edo | 5:3:2 | 352.941 | 211.765 | 141.176 | 5-limit patent val |
6:3:1 | 423.529 | 211.765 | 70.588 | 17cc val | |
18edo | 5:4:2 | 333.333 | 266.667 | 133.333 | 5-limit patent val |
6:4:1 | 400.000 | 266.667 | 66.667 | 18c val | |
7:2:1 | 466.667 | 133.333 | 66.667 | 18bccccc val | |
19edo | 6:3:2 | 378.947 | 189.474 | 126.316 | 19cc val |
6:5:1 | 378.947 | 315.789 | 63.158 | 19bcc val | |
7:3:1 | 442.105 | 189.474 | 63.158 | 19cccc val | |
20edo | 5:4:3 | 300.000 | 240.000 | 180.000 | 20c val |
7:4:1 | 360.000 | 240.000 | 60.000 | 20cc val | |
8:2:1 | 420.000 | 120.000 | 60.000 | 20bcccccc val | |
21edo | 6:5:2 | 347.857 | 285.714 | 114.286 | 21b val |
7:3:2 | 400.000 | 171.429 | 114.286 | 21ccc val | |
7:5:1 | 400.000 | 285.714 | 57.143 | 21bc val | |
8:3:1 | 457.143 | 171.429 | 57.143 | 21ccccc val | |
22edo | 6:4:3 | 327.273 | 218.182 | 163.636 | 5-limit patent val |
7:4:2 | 381.818 | 218.182 | 109.091 | 22cc val | |
7:6:1 | 381.818 | 327.273 | 54.545 | 22bb val | |
8:4:1 | 436.364 | 218.182 | 54.545 | 22cccc val | |
9:2:1 | 490.909 | 109.091 | 54.545 | 22bcccccccc val |
Modes
The ten modes are listed from brightest to darkest (from minor to major) and are named after the names of fingers.
Left/Right Hand | Left/Right Hand |
---|---|
LsLsM LH/RH Pinkie |
LsLMs LH/RH Pinkie |
LsMLs LH/RH Ring |
LMsLs LH/RH Ring |
MLsLs LH/RH Middle |
sLsLM LH/RH Middle |
sLsML LH/RH Index |
sLMsL LH/RH Index |
sMLsL LH/RH Thumb |
MsLsL LH/RH Thumb |