Yer: Difference between revisions
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Yer is an octave-reduced [[wikipedia:Euler–Fokker_genus|Euler-Fokker genus]] of 11, 13, 17, and 19. As such it is a 2.11.13.17.19 limit just intonation tuning (ignoring the 3rd, 5th, and 7th harmonics). | Yer is an octave-reduced [[wikipedia:Euler–Fokker_genus|Euler-Fokker genus]] of 11, 13, 17, and 19. As such it is a 2.11.13.17.19 limit just intonation tuning (ignoring the 3rd, 5th, and 7th harmonics). | ||
[[File:Yer - cycle view.jpg|thumb| | |||
Yer - cycle view | |||
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[[File:Yer - lattice view.jpg|thumb| | |||
Yer - lattice view | |||
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== Commas == | == Commas == | ||
Revision as of 05:25, 6 February 2020
Introduction
Yer is an octave-reduced Euler-Fokker genus of 11, 13, 17, and 19. As such it is a 2.11.13.17.19 limit just intonation tuning (ignoring the 3rd, 5th, and 7th harmonics).
Commas
Yer features two unusual commas:
| name | value | cents | monzo |
|---|---|---|---|
| Blumeyer comma | 2432/2431 | 0.71200249782 | | 7 0 0 0 -1 -1 -1 1 > |
| Blume comma | 2057/2048 | 7.59129422992 | | -11 0 0 0 2 0 1 > |
Yer supports 240 possible comma pumps (which are zero comma pumps via comma shifts by the comma-wide intervals present in the tuning).
Scala file
! blumeyer_ji.scl ! Blumeyer JI scale, combination of CPS's of 11, 13, 17, 19 16 ! 4199/4096 17/16 143/128 2431/2048 19/16 323/256 2717/2048 11/8 46189/32768 187/128 13/8 209/128 221/128 3553/2048 247/128 2/1
Video explanation
More details are presented in this video: Yer (pitch system)
Listening
Douglas Blumeyer - Tsraxcfaubdj