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) which is octave-repeating. | 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) which is octave-repeating. | ||
[[File:Yer HEWM 11 11 17.png| | [[File:Yer HEWM 11 11 17.png|32x32px]] | ||
[[File:Yer HEWM | [[File:Yer HEWM 13 19 11.png|32x32px]] | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 30: | Line 26: | ||
|1.025146484 | |1.025146484 | ||
|42.9960874 | |42.9960874 | ||
| | |[[File:Yer HEWM 13 17 19.png|32x32px]] | ||
|- | |- | ||
|d | |d | ||
| Line 37: | Line 33: | ||
|1.0625 | |1.0625 | ||
|104.9554095 | |104.9554095 | ||
| | |[[File:Yer HEWM 17.png|32x32px]] | ||
|- | |- | ||
|f | |f | ||
| Line 44: | Line 40: | ||
|1.1171875 | |1.1171875 | ||
|191.8456041 | |191.8456041 | ||
| | |[[File:Yer HEWM 11 13.png|32x32px]] | ||
|- | |- | ||
|l | |l | ||
| Line 51: | Line 47: | ||
|1.187011719 | |1.187011719 | ||
|296.8010136 | |296.8010136 | ||
| | |[[File:Yer HEWM 11 13 17.png|32x32px]] | ||
|- | |- | ||
|e | |e | ||
| Line 58: | Line 54: | ||
|1.1875 | |1.1875 | ||
|297.5130161 | |297.5130161 | ||
| | |[[File:Yer HEWM 19.png|32x32px]] | ||
|- | |- | ||
|k | |k | ||
| Line 65: | Line 61: | ||
|1.26171875 | |1.26171875 | ||
|402.4684256 | |402.4684256 | ||
| | |[[File:Yer HEWM 17 19.png|32x32px]] | ||
|- | |- | ||
|m | |m | ||
| Line 72: | Line 68: | ||
|1.326660156 | |1.326660156 | ||
|489.3586203 | |489.3586203 | ||
| | |[[File:Yer HEWM 11 13 19.png|32x32px]] | ||
|- | |- | ||
|b | |b | ||
| Line 79: | Line 75: | ||
|1.375 | |1.375 | ||
|551.3179424 | |551.3179424 | ||
| | |[[File:Yer HEWM 11.png|32x32px]] | ||
|- | |- | ||
|p | |p | ||
| Line 86: | Line 82: | ||
|1.409576416 | |1.409576416 | ||
|594.3140298 | |594.3140298 | ||
| | |[[File:Yer HEWM 11 13 17 19.png|32x32px]] | ||
|- | |- | ||
|g | |g | ||
| Line 93: | Line 89: | ||
|1.4609375 | |1.4609375 | ||
|656.2733519 | |656.2733519 | ||
| | |[[File:Yer HEWM 11 17.png|32x32px]] | ||
|- | |- | ||
|c | |c | ||
| Line 100: | Line 96: | ||
|1.625 | |1.625 | ||
|840.5276618 | |840.5276618 | ||
| | |[[File:Yer HEWM 13.png|32x32px]] | ||
|- | |- | ||
|h | |h | ||
| Line 107: | Line 103: | ||
|1.6328125 | |1.6328125 | ||
|848.8309585 | |848.8309585 | ||
| | |[[File:Yer HEWM 11 19.png|32x32px]] | ||
|- | |- | ||
|i | |i | ||
| Line 114: | Line 110: | ||
|1.7265625 | |1.7265625 | ||
|945.4830713 | |945.4830713 | ||
| | |[[File:Yer HEWM 13 17.png|32x32px]] | ||
|- | |- | ||
|n | |n | ||
| Line 121: | Line 117: | ||
|1.734863281 | |1.734863281 | ||
|953.786368 | |953.786368 | ||
| | |[[File:Yer HEWM 11 17 19.png|32x32px]] | ||
|- | |- | ||
|j | |j | ||
| Line 128: | Line 124: | ||
|1.9296875 | |1.9296875 | ||
|1138.040678 | |1138.040678 | ||
| | |[[File:Yer HEWM 13 19.png|32x32px]] | ||
|} | |} | ||
Throughout this post, the same four colors will be consistently associated with the four harmonics: green is 11, orange is 13, cyan is 17, and magenta is 19. | Throughout this post, the same four colors will be consistently associated with the four harmonics: green is 11, orange is 13, cyan is 17, and magenta is 19. | ||
| Line 142: | Line 135: | ||
Yer - lattice view | Yer - lattice view | ||
|none]] | |none]] | ||
It has a minor third of 19:16 and a minor second 17:16. | It has a minor third of 19:16 and a minor second 17:16. | ||