53edo: Difference between revisions

change more of the Kite's modified ups and downs to regular ups and downs
selected just intervals by error using https://scratch.mit.edu/projects/249278782/
Line 654: Line 654:


For a more complete list, see [[Ups and Downs Notation#Chord names in other EDOs|Ups and Downs Notation - Chord names in other EDOs]].
For a more complete list, see [[Ups and Downs Notation#Chord names in other EDOs|Ups and Downs Notation - Chord names in other EDOs]].
==Selected just intervals by error==
The following table shows how [[15-odd-limit|some prominent just intervals]] are represented in 53edo (ordered by absolute error).
{| class="wikitable"
|-
| | '''Interval, complement'''
| | '''Error (abs., in [[cent]]s)'''
|-
| style="text-align:center;" | [[4/3]], [[3/2]]
| style="text-align:center;" | 0.068
|-
| style="text-align:center;" | [[9/8]], [[16/9]]
| style="text-align:center;" | 0.136
|-
| style="text-align:center;" | [[10/9]], [[9/5]]
| style="text-align:center;" | 1.272
|-
| style="text-align:center;" | [[15/13]], [[26/15]]
| style="text-align:center;" | 1.316
|-
| style="text-align:center;" | [[6/5]], [[5/3]]
| style="text-align:center;" | 1.34
|-
| style="text-align:center;" | [[13/10]], [[20/13]]
| style="text-align:center;" | 1.384
|-
| style="text-align:center;" | [[5/4]], [[8/5]]
| style="text-align:center;" | 1.408
|-
| style="text-align:center;" | [[16/15]], [[15/8]]
| style="text-align:center;" | 1.476
|-
| style="text-align:center;" | [[18/13]], [[13/9]]
| style="text-align:center;" | 2.655
|-
| style="text-align:center;" | [[13/12]], [[24/13]]
| style="text-align:center;" | 2.724
|-
| style="text-align:center;" | [[16/13]], [[13/8]]
| style="text-align:center;" | 2.792
|-
| style="text-align:center;" | [[8/7]], [[7/4]]
| style="text-align:center;" | 4.759
|-
| style="text-align:center;" | [[7/6]], [[12/7]]
| style="text-align:center;" | 4.827
|-
| style="text-align:center;" | [[9/7]], [[14/9]]
| style="text-align:center;" | 4.895
|-
| style="text-align:center;" | [[13/11]], [[22/13]]
| style="text-align:center;" | 5.13
|-
| style="text-align:center;" | [[7/5]], [[10/7]]
| style="text-align:center;" | 6.167
|-
| style="text-align:center;" | [[15/14]], [[28/15]]
| style="text-align:center;" | 6.235
|-
| style="text-align:center;" | [[15/11]], [[22/15]]
| style="text-align:center;" | 6.445
|-
| style="text-align:center;" | [[11/10]], [[20/11]]
| style="text-align:center;" | 6.514
|-
| style="text-align:center;" | [[14/13]], [[13/7]]
| style="text-align:center;" | 7.551
|-
| style="text-align:center;" | [[11/9]], [[18/11]]
| style="text-align:center;" | 7.785
|-
| style="text-align:center;" | [[12/11]], [[11/6]]
| style="text-align:center;" | 7.854
|-
| style="text-align:center;" | [[11/8]], [[16/11]]
| style="text-align:center;" | 7.922
|-
| style="text-align:center;" | [[14/11]], [[11/7]]
| style="text-align:center;" | 12.681
|}


== Compositions ==
== Compositions ==