User:FloraC/Sequence of equal temperaments by error/Supplement: Difference between revisions
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For a method to iterate thru all GPVs, see [[Patent val/Properties]]. GPVs starting with a zero are excluded as they would meddle with the results. | |||
The '''tier''' of an equal temperament is defined as the number of GPVs before it that is tuned more efficient than it. | |||
; 3-limit: | |||
: {{EDOs| 1b, 1, 2, 5, 12, 41, 53, 306, 665, 15601, 31867 }}… | |||
; 5-limit: | |||
: {{EDOs| 1, 1c, 2c, 2, 3, 7, 12, 19, 34, 53, 118, 441, 559, 612, 1171, 1783, 2513, 4296 }}… | |||
; 7-limit: | |||
: {{EDOs| 1bd, 1c, 2cd, 3d, 4, 5, 10, 12, 19, 31, 72, 99, 171, 3125, 11664, 18355 }}… | |||
; 11-limit: | |||
: {{EDOs| 1ce, 2cde, 2, 3de, 5, 7, 8d, 9, 12, 22, 31, 72, 270, 342, 1848, 6079, 6691 }}… | |||
; 13-limit: | |||
: {{EDOs| 2cde, 2f, 3, 3de, 3def, 4ef, 5e, 7, 8d, 9, 12f, 19e, 19, 27e, 31, 41, 53, 58, 72, 224, 270, 494, 1506, 2190, 2684, 5585, 6079, 14618 }}… | |||
; 17-limit: | |||
: {{EDOs| 4ef, 5eg, 8d, 10, 19eg, 22, 26, 27eg, 31, 46, 72, 494, 1506, 3395, 7033, 16808, 20203 }}… | |||
; 19-limit: | |||
: {{EDOs| 7, 8d, 8dhh, 9g, 9, 12f, 19egh, 26, 27eg, 46, 72, 217, 270, 581, 742, 1178, 1578, 2000, 2460, 3395, 8269, 8539, 16808, 20203 }}… | |||
; 23-limit: | |||
: {{EDOs| 14cf, 15g, 26i, 29g, 46, 94, 190g, 193, 217, 270, 282, 311, 581, 1578, 2460, 8269, 11664, 16808 }}… | |||
; 29-limit: | |||
: {{EDOs| 26i, 46, 58hi, 80, 140, 159, 183, 243e, 311, 954hj, 1578, 16808 }}… | |||
; 31-limit: | |||
: {{EDOs| 46, 99efk, 103h, 183, 190g, 217, 311, 954hj, 4501, 16808 }}… | |||
; 7-limit: | |||
: {{EDOs| 80k, 99efk, 103hl, 270, 270i, 311, 1395, 1920, 4501, 16808 }}… | |||
; sqrt (2).sqrt (3).5.7.11.13 subgroup: | |||
: {{EDOs| 10e, 10, 34d, 58, 72, 270, 2684, 13112 }}… | |||
; sqrt (2).sqrt (3).5.7.11.13.17 subgroup: | |||
: {{EDOs| 10e, 10, 34d, 58, 72, 742, 954, 2000, 2684, 10356, 10427, 16808 }}… | |||
Revision as of 02:03, 9 June 2022
For a method to iterate thru all GPVs, see Patent val/Properties. GPVs starting with a zero are excluded as they would meddle with the results.
The tier of an equal temperament is defined as the number of GPVs before it that is tuned more efficient than it.
- 13-limit
- 2cde, 2f, 3, 3de, 3def, 4ef, 5e, 7, 8d, 9, 12f, 19e, 19, 27e, 31, 41, 53, 58, 72, 224, 270, 494, 1506, 2190, 2684, 5585, 6079, 14618…
- 19-limit
- 7, 8d, 8dhh, 9g, 9, 12f, 19egh, 26, 27eg, 46, 72, 217, 270, 581, 742, 1178, 1578, 2000, 2460, 3395, 8269, 8539, 16808, 20203…