Yer

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).


name	frequency multiplier (definition)	frequency multiplier (decimal)	pitch (¢)
1	1/1	1	0
13 * 17 * 19	4199/4096	1.025146484	42.9960874
17	17/16	1.0625	104.9554095
11 * 13	143/128	1.1171875	191.8456041
11 * 13 * 17	2431/2048	1.187011719	296.8010136
19	19/16	1.1875	297.5130161
17 * 19	323/256	1.26171875	402.4684256
11 * 13 * 19	2717/2048	1.326660156	489.3586203
11	11/8	1.375	551.3179424
11 * 13 * 17 * 19	46189/32768	1.409576416	594.3140298
11 * 17	187/128	1.4609375	656.2733519
13	13/8	1.625	840.5276618
11 * 19	209/128	1.6328125	848.8309585
13 * 17	221/128	1.7265625	945.4830713
11 * 17 * 19	3553/2048	1.734863281	953.786368
13 * 19	247/128	1.9296875	1138.040678

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