User:Akselai/SandBox
├──┼─┼╫───────┤ ├──┼─┼╫┼───────┤
| Order | Number of steps | Step visualization | Chord | Intervals < 1/16 |
|---|---|---|---|---|
| 0 | 1 | ├───────────────────────────────────────────────────────────────┤ | 1:2 | 1 |
| 1 | 2 | ├────────────────────┼──────────────────────────────────────────┤ | 3:4:6 | 1/3 2/3 |
| 2 | 4 | ├──────┼─────────────┼─────────────┼────────────────────────────┤ | 9:10:12:14:18 | 1/9 2/9 4/9 |
| 3 | 8 | ├─┼────┼────┼────────┼────┼────────┼────────┼───────────────────┤ | 27:28:30:32:36:38:42:46:54 | 2/27 4/27 8/27 |
| 4 | 15 | ├─┼─┼──┼─┼──┼──┼─────┼─┼──┼──┼─────┼──┼─────┼─────┼─────────────┤ | 81:84:86:90:92:96:100:108:110:114:118:126:130:138:146:162 | 8/81 16/81 |
| 5 | 20 | ├─┼─┼──┼─┼──┼──┼─┼───┼─┼──┼──┼─┼───┼──┼─┼───┼─┼───┼───┼─────────┤ | 243:252:258:270:276:288:300:308:324:330:342:
354:362:378:390:398:414:422:438:454:486 |
16/243 32/243 |
| 6 | 26 | ├─┼─┼──┼─┼──┼──┼─┼┼──┼─┼──┼──┼─┼┼──┼──┼─┼┼──┼─┼┼──┼┼──┼──┼──────┤ | 729:756:774:810:828:864:900:924:940:972:990:1026:1062:1086:1102:
1134:1170:1194:1210:1242:1266:1282:1314:1330:1362:1394:1458 |
64/729 |
| 7 | 27 | ├─┼─┼──┼─┼──┼──┼─┼┼──┼─┼──┼──┼─┼┼──┼──┼─┼┼──┼─┼┼──┼┼──┼──┼─┼────┤ | 2187:2268:2322:2430:2484:2592:2700:2772:2820:2916:2970:3078:3186:3258:
3306:3402:3510:3582:3630:3726:3798:3846:3942:3990:4086:4182:4246:4374 |
none |
order = 8
ratio = [0, 1/3]
# the "shape" of the ratio, only input integers please.
# [a, b] corresponds to the ratio 1:2^{a/(a+b)}:2,
# [a, b, c] corresponds to the ratio 1:2^{a/(a+b+c)}:2^{(a+b)/(a+b+c)}:2, etc.
c = [0, 1]
if order == 0:
c = []
for i in range(0, order-1):
b = []
for j in range(len(c)-1):
if (c[j+1]-c[j] > 1/16):
b.append([c[j] + x*(c[j+1]-c[j]) for x in ratio])
else:
b.append([c[j]])
b.append([1])
c = [x for xs in b for x in xs]
c = [1+x for x in c]
print([i / gcd(c) for i in c])
print([c[i+1]-c[i] for i in range(len(c)-1)])
Numbered Musical Notation
u+0307 dot above 0̇1̇2̇3̇4̇5̇6̇7̇8̇9̇0̇̇1̇̇2̇̇3̇̇4̇̇5̇̇6̇̇7̇̇8̇̇9̇̇
u+0323 dot below 0̣1̣2̣3̣4̣5̣6̣7̣8̣9̣0̣̣1̣̣2̣̣3̣̣4̣̣5̣̣6̣̣7̣̣8̣̣9̣̣
WT13C XII Prelude Example (Diamond MOS accidentals)
[13edo] [21221212] [6\13 higher than written]
|| 1234 | 5 3 6 4 3 1 |&8̣12 -123 4567 |&8 6 4 6 7 6
3 ||: ==== | --- --- --- | ==- ==== ==== | --- --- ---
- || ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
4 ||: 0 | 1 2 3 | 4 2 &8̣ | 2 6̣ ♮8̣ 12
|| | | | --==
################################################################
5345 6 7&8 1̇ 2̇3̇ | 4̇ 2̇ &8 2̇ 3̇2̇1̇8 | 1̇ 7 5 7 &8765 | 7 4 2 6 5432
==== --=== --== | --- --- ==== | --- --- ==== | --- --- ====
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ etc.
3 - 2 1 7̣ |&8̣ - 3 1 | 5̣ -&8̣ 6 | 2̣ - 5̣ 3̣
--- --- | --- | --- | ---