53edo: Difference between revisions
general cleanup |
→Selected just intervals by error: added a table that shows each prime's error and fifthspan |
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| Line 780: | Line 780: | ||
==Selected just intervals by error== | ==Selected just intervals by error== | ||
{| class="wikitable" | |||
! | |||
!prime 2 | |||
!prime 3 | |||
!prime 5 | |||
!prime 7 | |||
!prime 11 | |||
!prime 13 | |||
|- | |||
!error | |||
|0.0¢ | |||
| -0.07¢ | |||
| -1.4¢ | |||
| +4.8¢ | |||
| -7.9¢ | |||
| -2.8¢ | |||
|- | |||
![[fifthspan]] | |||
|0 | |||
| +1 | |||
| -8 | |||
| -14 | |||
| +23 | |||
| +20 | |||
|} | |||
The following table shows how [[15-odd-limit|some prominent just intervals]] are represented in 53edo (ordered by absolute error). Octave-reduced prime harmonics are '''bolded'''. | The following table shows how [[15-odd-limit|some prominent just intervals]] are represented in 53edo (ordered by absolute error). Octave-reduced prime harmonics are '''bolded'''. | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| Line 787: | Line 811: | ||
| | '''Error (abs., in [[cent]]s)''' | | | '''Error (abs., in [[cent]]s)''' | ||
|- | |- | ||
| style="text-align:center;" | [[4/3]], [[3/2| | | style="text-align:center;" | '''[[4/3]], [[3/2|3/2]]''' | ||
| style="text-align:center;" | '''0.068''' | | style="text-align:center;" | '''0.068''' | ||
|- | |- | ||
| Line 805: | Line 829: | ||
| style="text-align:center;" | 1.384 | | style="text-align:center;" | 1.384 | ||
|- | |- | ||
| style="text-align:center;" | '''[[5/4]] | | style="text-align:center;" | '''[[5/4]], [[8/5]]''' | ||
| style="text-align:center;" | '''1.408''' | | style="text-align:center;" | '''1.408''' | ||
|- | |- | ||
| Line 817: | Line 841: | ||
| style="text-align:center;" | 2.724 | | style="text-align:center;" | 2.724 | ||
|- | |- | ||
| style="text-align:center;" | [[16/13]], [[13/8| | | style="text-align:center;" | '''[[16/13]], [[13/8|13/8]]''' | ||
| style="text-align:center;" | '''2.792''' | | style="text-align:center;" | '''2.792''' | ||
|- | |- | ||
| style="text-align:center;" | [[8/7]], | | style="text-align:center;" | '''[[8/7]], [[7/4]]''' | ||
| style="text-align:center;" | '''4.759''' | | style="text-align:center;" | '''4.759''' | ||
|- | |- | ||
| Line 853: | Line 877: | ||
| style="text-align:center;" | 7.854 | | style="text-align:center;" | 7.854 | ||
|- | |- | ||
| style="text-align:center;" | '''[[11/8]] | | style="text-align:center;" | '''[[11/8]], [[16/11]]''' | ||
| style="text-align:center;" | '''7.922''' | | style="text-align:center;" | '''7.922''' | ||
|- | |- | ||