97edo: Difference between revisions

BudjarnLambeth (talk | contribs)
m Added interval table
ArrowHead294 (talk | contribs)
No edit summary
Line 17: Line 17:


Since 97edo is a prime edo, it lacks specific modulation circles, symmetrical chords or sub-edos that are present in composite edos. When notable equal divisions like {{EDOs|19, 31, 41, or 53}} have strong JI-based harmony, 97edo does not have easily representable modulation because of its inability to represent superparticulars. However, this might result in interest in this tuning through JI-agnostic approaches.
Since 97edo is a prime edo, it lacks specific modulation circles, symmetrical chords or sub-edos that are present in composite edos. When notable equal divisions like {{EDOs|19, 31, 41, or 53}} have strong JI-based harmony, 97edo does not have easily representable modulation because of its inability to represent superparticulars. However, this might result in interest in this tuning through JI-agnostic approaches.
 
{{Q-odd-limit intervals|97}}
{| class="wikitable center-all"
|+style=white-space:nowrap| Superparticular intervals up to 17/16<br> by direct approximation (even if inconsistent)
|-
! Interval !! Error (Relative, [[Relative cent|r¢]])
|-
| 3/2 || 25.9
|-
| 4/3 || 25.8 
|-
| 5/4 || 22.7 
|-
| 6/5 || 48.6
|-
| 7/6 || 42.8
|-
| 8/7 || 31.4 
|-
| 9/8 || 48.2 
|-
| 10/9 || 25.6
|-
| 11/10 || 33.7 
|-
| 12/11 || 17.6 
|-
| 13/12 || 20.1 
|-
| 14/13 || 37.0 
|-
| 15/14 || 34.6
|-
| 16/15 || 3.1 
|-
| 17/16 || 48.3 
|}


== Intervals ==
== Intervals ==