Path-based goodness: Difference between revisions
No edit summary |
No edit summary |
||
| Line 19: | Line 19: | ||
Path-based goodness can also be calculated for scales without JI interpretations; we assign to each note and just interval a tempered interval rooted on that note, and compute the goodness of the best assignment. | Path-based goodness can also be calculated for scales without JI interpretations; we assign to each note and just interval a tempered interval rooted on that note, and compute the goodness of the best assignment. | ||
=== Path-based goodnesses and octave stretches for the equal temperaments 1- | === Path-based goodnesses and octave stretches for the equal temperaments 1-90: === | ||
{| class="wikitable | {| class="wikitable" style="text-align: right;" | ||
|+ Temperament Rankings | |+ Temperament Rankings | ||
! style="width: 25%;" | EDO | ! style="width: 25%;" | EDO | ||
! style="width: 25%;" | GPV | ! style="width: 25%;" | GPV | ||
! style="width: 25%;" | Goodness | ! style="width: 25%;" | Goodness | ||
! style="width: 25%;" | | ! style="width: 25%;" | Octave stretch | ||
|- | |- | ||
| 1 || 1.06 || 10.8 || +0.00 | | 1 || 1.06 || 10.8 || +0.00 | ||
| Line 144: | Line 144: | ||
|- | |- | ||
| 59 || 59.09 || 32.8 || -1.89 | | 59 || 59.09 || 32.8 || -1.89 | ||
|- | |||
| 60 || 59.94 || 40.6 || +1.56 | |||
|- | |||
| 61 || 61.09 || 35.8 || -2.59 | |||
|- | |||
| 62 || 61.88 || 40.1 || +1.39 | |||
|- | |||
| 63 || 63.00 || 40.2 || -0.32 | |||
|- | |||
| 64 || 63.88 || 36.4 || +3.48 | |||
|- | |||
| 65 || 65.09 || 41.5 || -0.50 | |||
|- | |||
| 66 || 66.12 || 35.4 || -3.41 | |||
|- | |||
| 67 || 67.09 || 37.8 || -0.39 | |||
|- | |||
| 68 || 68.00 || 42.0 || -0.71 | |||
|- | |||
| 69 || 68.91 || 36.8 || +1.93 | |||
|- | |||
| 70 || 70.06 || 38.4 || -0.59 | |||
|- | |||
| 71 || 71.09 || 36.3 || -2.01 | |||
|- | |||
| 72 || 71.94 || 44.0 || +0.93 | |||
|- | |||
| 73 || 73.12 || 38.5 || -2.34 | |||
|- | |||
| 74 || 74.00 || 38.0 || -0.00 | |||
|- | |||
| 75 || 75.12 || 40.1 || -1.46 | |||
|- | |||
| 76 || 75.91 || 36.9 || +2.05 | |||
|- | |||
| 77 || 77.00 || 42.9 || +0.21 | |||
|- | |||
| 78 || 78.09 || 38.9 || -0.77 | |||
|- | |||
| 79 || 78.88 || 39.7 || +1.98 | |||
|- | |||
| 80 || 80.06 || 42.7 || -1.03 | |||
|- | |||
| 81 || 80.88 || 39.4 || +1.23 | |||
|- | |||
| 82 || 81.97 || 40.9 || +0.56 | |||
|- | |||
| 83 || 83.12 || 37.1 || -2.07 | |||
|- | |||
| 84 || 84.03 || 42.5 || -0.03 | |||
|- | |||
| 85 || 85.12 || 38.8 || -1.90 | |||
|- | |||
| 86 || 85.88 || 39.4 || +1.99 | |||
|- | |||
| 87 || 87.06 || 43.6 || -0.26 | |||
|- | |||
| 88 || 87.88 || 38.3 || +1.80 | |||
|- | |||
| 89 || 89.00 || 42.0 || -0.24 | |||
|- | |||
| 90 || 90.06 || 39.6 || -1.06 | |||
|} | |} | ||
[[Category:Badness]] | [[Category:Badness]] | ||