User talk:Aura/Aura's Ideas on Tonality
exponential syntax
instead of writing 11*3/2*10
which most people will read as multiplication, use 11^3/2^10
or 11**3/2**10
or 113/210
. --Xenwolf (talk) 19:15, 18 October 2020 (UTC)
Interval table
I'd say that adding interval sizes could be of use, even cent precision would do, something like this:
Ratio | Cents | Interval Name(s) |
---|---|---|
33/32 | 53 | Alpharabian Superprime, Alpharabian Parachromatic Quartertone, al-Farabi Quartertone |
1089/1024 | 107 | Alpharabian Augmented Unison, Alpharabian Chromatic Semitone |
4096/3993 | 44 | Alpharabian Subminor Second, Alpharabian Paradiatonic Quartertone |
128/121 | 97 | Alpharabian Minor Second, Alpharabian Diatonic Semitone |
12/11 | 151 | Lesser Alpharabian Neutral Second |
88/81 | 143 | Greater Alpharabian Neutral Second |
297/256 | 257 | Alpharabian Supermajor Second |
1024/891 | 241 | Alpharabian Subminor Third |
144/121 | 301 | Alpharabian Minor Third |
11/9 | 347 | Lesser Alpharabian Neutral Third |
27/22 | 355 | Greater Alpharabian Neutral Third |
121/96 | 401 | Alpharabian Major Third |
2673/2048 | 461 | Alpharabian Supermajor Third |
128/99 | 445 | Alpharabian Paraminor Fourth |
11/8 | 551 | Alpharabian Paramajor Fourth, Just Paramajor Fourth |
363/256 | 605 | Alpharabian Augmented Fourth |
512/363 | 595 | Alpharabian Diminished Fifth |
16/11 | 649 | Alpharabian Paraminor Fifth, Just Paraminor Fifth |
99/64 | 755 | Alpharabian Paramajor Fifth |
4096/2673 | 739 | Alpharabian Subminor Sixth |
192/121 | 799 | Alpharabian Minor Sixth |
44/27 | 845 | Lesser Alpharabian Neutral Sixth |
18/11 | 853 | Greater Alpharabian Neutral Sixth |
121/72 | 899 | Alpharabian Major Sixth |
891/512 | 959 | Alpharabian Supermajor Sixth |
512/297 | 943 | Alpharabian Subminor Seventh |
81/44 | 1057 | Lesser Alpharabian Neutral Seventh |
11/6 | 1049 | Greater Alpharabian Neutral Seventh |
121/64 | 1103 | Alpharabian Major Seventh |
3993/2048 | 1156 | Alpharabian Supermajor Seventh |
2401/1089 | 1369 | Alpharabian Diminished Octave |
64/33 | 1147 | Alpharabian Suboctave |
Hope that helps. --Xenwolf (talk) 19:36, 18 October 2020 (UTC)