Diaphonic cycle: Difference between revisions
Jump to navigation
Jump to search
Cmloegcmluin (talk | contribs) just basically getting it out there |
Cmloegcmluin (talk | contribs) No edit summary |
||
| Line 7: | Line 7: | ||
! scale step !! 1 !! 2 !! 3 !! 4 !! 5 !! 6 !! 7 (Junction) !! 8 !! 9 !! 10 !! 11 !! 12 !! (1) | ! scale step !! 1 !! 2 !! 3 !! 4 !! 5 !! 6 !! 7 (Junction) !! 8 !! 9 !! 10 !! 11 !! 12 !! (1) | ||
|- | |- | ||
| upper section || || || || || || || 21/21 || 21/20 || 21/19 || 21/18 || 21/17 || 21/16 || (21/15) | | '''upper section''' <br> (subharmonics 21 - 15, rebased onto 20/14 = 10/7) || || || || || || || 21/21 || 21/20 || 21/19 || 21/18 || 21/17 || 21/16 || (21/15) | ||
|- | |- | ||
| lower section || 20/20 || 20/19 || 20/18 || 20/17 || 20/16 || 20/15 || 20/14 || || || || || || | | '''lower section''' <br> (subharmonics 20 - 14) || 20/20 || 20/19 || 20/18 || 20/17 || 20/16 || 20/15 || 20/14 || || || || || || | ||
|- | |- | ||
| combined scale || 60/60 || 60/57 || 60/54 || 60/51 || 60/48 || 60/45 || 60/42 || 60/40 || 60/38 || 60/36 || 60/34 || 60/32 || (60/30) | | '''combined scale''' (using LCM) || 60/60 || 60/57 || 60/54 || 60/51 || 60/48 || 60/45 || 60/42 || 60/40 || 60/38 || 60/36 || 60/34 || 60/32 || (60/30) | ||
|- | |- | ||
| reduced || 1/1 || 20/19 || 10/9 || 20/17 || 5/4 || 4/3 || 10/7 || 3/2 || 30/19 || 5/3 || 30/17 || 15/8 || (2/1) | | '''combined scale''' (reduced to lowest terms) || 1/1 || 20/19 || 10/9 || 20/17 || 5/4 || 4/3 || 10/7 || 3/2 || 30/19 || 5/3 || 30/17 || 15/8 || (2/1) | ||
|} | |} | ||
Revision as of 21:54, 15 March 2021
A diaphonic cycle is a type of scale described by Erv Wilson which joins two overtone (harmonic) or undertone (subharmonic) series segments together at a junction or disjunction, and then repeats.
For example, one of the subharmonic genus, using a junction:
| scale step | 1 | 2 | 3 | 4 | 5 | 6 | 7 (Junction) | 8 | 9 | 10 | 11 | 12 | (1) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| upper section (subharmonics 21 - 15, rebased onto 20/14 = 10/7) |
21/21 | 21/20 | 21/19 | 21/18 | 21/17 | 21/16 | (21/15) | ||||||
| lower section (subharmonics 20 - 14) |
20/20 | 20/19 | 20/18 | 20/17 | 20/16 | 20/15 | 20/14 | ||||||
| combined scale (using LCM) | 60/60 | 60/57 | 60/54 | 60/51 | 60/48 | 60/45 | 60/42 | 60/40 | 60/38 | 60/36 | 60/34 | 60/32 | (60/30) |
| combined scale (reduced to lowest terms) | 1/1 | 20/19 | 10/9 | 20/17 | 5/4 | 4/3 | 10/7 | 3/2 | 30/19 | 5/3 | 30/17 | 15/8 | (2/1) |