29edo: Difference between revisions

Rperlner (talk | contribs)
Music: Replaced 29 EDO Fugue... with link to slightly slower version after several requests.
Inthar (talk | contribs)
Line 17: Line 17:


== Theory ==
== Theory ==
{| class="wikitable center-all"
{{Odd harmonics in edo|edo=29}}
! colspan="2" | <!-- empty cell -->
! prime 2
! prime 3
! prime 5
! prime 7
! prime 11
! prime 13
|-
! rowspan="2" | Error
! absolute (¢)
| 0
| +1.5
| -13.9
| -17.1
| -13.4
| -12.9
|-
! [[Relative error|relative]] (%)
| 0
| +4
| -34
| -41
| -32
| -31
|-
! colspan="2" | [[Nearest edomapping]]
| 29
| 17
| 9
| 23
| 13
| 20
|-
! colspan="2" | [[Fifthspan]]
| 0
| +1
| -8
| -14
| +11
| +8
|}


29 is the lowest edo which approximates the [[3/2]] just fifth more accurately than [[12edo]]: 3/2 = 701.955… cents; 17 degrees of 29edo = 703.448… cents. Since the fifth is slightly sharp, 29edo is a [[Erv Wilson's Linear Notations|positive temperament]] – a Superpythagorean instead of a Meantone system.
29 is the lowest edo which approximates the [[3/2]] just fifth more accurately than [[12edo]]: 3/2 = 701.955… cents; 17 degrees of 29edo = 703.448… cents. Since the fifth is slightly sharp, 29edo is a [[Erv Wilson's Linear Notations|positive temperament]] – a Superpythagorean instead of a Meantone system.