87edo: Difference between revisions
space between table metachar and content |
Temperament measure table extended to 31-limit |
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=== Temperament Measures === | === Temperament Measures === | ||
The following table shows [[TE temperament measures]] (RMS normalized by the rank) of 87et. | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
! colspan="2" | | ! colspan="2" | | ||
| Line 388: | Line 389: | ||
! 11-limit | ! 11-limit | ||
! 13-limit | ! 13-limit | ||
! 17-limit | |||
! 19-limit | |||
! 23-limit | |||
! 29-limit | |||
! 31-limit | |||
|- | |- | ||
! colspan="2" |Octave stretch (¢) | ! colspan="2" |Octave stretch (¢) | ||
| Line 395: | Line 401: | ||
| +0.033 | | +0.033 | ||
| -0.011 | | -0.011 | ||
| -0.198 | |||
| -0.348 | |||
| -0.462 | |||
| -0.517 | |||
| -0.466 | |||
|- | |- | ||
! rowspan="2" |Error | ! rowspan="2" |Error | ||
| Line 403: | Line 414: | ||
| 0.676 | | 0.676 | ||
| 0.625 | | 0.625 | ||
| 0.738 | |||
| 0.796 | |||
| 0.816 | |||
| 0.792 | |||
| 0.772 | |||
|- | |- | ||
! [[TE simple badness|relative]] (%) | ! [[TE simple badness|relative]] (%) | ||
| Line 410: | Line 426: | ||
| 4.90 | | 4.90 | ||
| 4.53 | | 4.53 | ||
| 5.35 | |||
| 5.77 | |||
| 5.92 | |||
| 5.74 | |||
| 5.60 | |||
|} | |} | ||
| Line 562: | Line 583: | ||
| 1200.0 | | 1200.0 | ||
|} | |} | ||
* The scale in adjacent steps is 15, 13, 12, 11, 10, 9, 9, 8. | * The scale in adjacent steps is 15, 13, 12, 11, 10, 9, 9, 8. | ||
| Line 616: | Line 638: | ||
| 1144.8 | | 1144.8 | ||
|} | |} | ||
* The scale in adjacent steps is 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 4, 4, 4. | * The scale in adjacent steps is 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 4, 4, 4. | ||
* 25 and 31 are close matches. | * 25 and 31 are close matches. | ||
* 21 is a little bit flat, but still decent. | * 21 is a little bit flat, but still decent. | ||
* The others (17, 19, 23, 27 and 29) are extremely sharp, but the intervals between them are close. | * The others (17, 19, 23, 27 and 29) are extremely sharp, but the intervals between them are close. | ||