User:CompactStar/JI notation: Difference between revisions
Jump to navigation
Jump to search
CompactStar (talk | contribs) No edit summary |
CompactStar (talk | contribs) No edit summary |
||
| Line 1: | Line 1: | ||
(This may be moved to mainspace when it is more fleshed out) | (This may be moved to mainspace when it is more fleshed out) | ||
The naturals CDEFGAB | The naturals CDEFGAB correspond to Pythagorean intervals. Sharp and flat accidentals raise/lower by 2187/2048, and half-sharp and half-flat accidentals raise/lower by 33/32. To represent non-2.3.11 subgroup intervals, a list of primes, each of which multiplies the basic note by a comma, is added (e.g. 5/4 = E[-5], 13/10 = Fd[+13, -5]). | ||
== Commas == | |||
{|class="wikitable" | |||
|- | |||
!Prime | |||
!Comma | |||
!Notation of harmonic | |||
|- | |||
|5 | |||
|81/80 | |||
|5/4 = E[-5] | |||
|- | |||
|7 | |||
|896/891 | |||
|7/4 = At[+7] | |||
|- | |||
|13 | |||
|352/351 | |||
|13/8 = Abt[-13] | |||
|- | |||
|17 | |||
|2187/2176 | |||
|17/16 = C#[-17] | |||
|- | |||
|19 | |||
|513/512 | |||
|19/16 = Eb[+19] | |||
|- | |||
|23 | |||
|736/729 | |||
|23/16 = F#[+23] | |||
|- | |||
|29 | |||
|88/87 | |||
|29/16 = Bbt[-29] | |||
|- | |||
|31 | |||
|1024/1023 | |||
|31/16 = Cd[-31] | |||
|- | |||
|37 | |||
| | |||
|37/32 = | |||
|} | |||
Revision as of 08:39, 11 June 2023
(This may be moved to mainspace when it is more fleshed out)
The naturals CDEFGAB correspond to Pythagorean intervals. Sharp and flat accidentals raise/lower by 2187/2048, and half-sharp and half-flat accidentals raise/lower by 33/32. To represent non-2.3.11 subgroup intervals, a list of primes, each of which multiplies the basic note by a comma, is added (e.g. 5/4 = E[-5], 13/10 = Fd[+13, -5]).
Commas
| Prime | Comma | Notation of harmonic |
|---|---|---|
| 5 | 81/80 | 5/4 = E[-5] |
| 7 | 896/891 | 7/4 = At[+7] |
| 13 | 352/351 | 13/8 = Abt[-13] |
| 17 | 2187/2176 | 17/16 = C#[-17] |
| 19 | 513/512 | 19/16 = Eb[+19] |
| 23 | 736/729 | 23/16 = F#[+23] |
| 29 | 88/87 | 29/16 = Bbt[-29] |
| 31 | 1024/1023 | 31/16 = Cd[-31] |
| 37 | 37/32 = |