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Path-based goodness: Difference between revisions

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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 7-41: ===
=== Path-based goodnesses and octave stretches for the equal temperaments 1-60: ===
(these use target_score 0.02 instead of 0.002; the order remains mostly unchanged, but all the values here are smaller than they would be at the correct target_score.)
{| class="wikitable" style="text-align: right;"
{| class="wikitable" style="text-align: right;"
|+ Goodnesses and octave stretches of small GPVs
|+ Temperament Rankings
! style="width: 25%;" | EDO
! style="width: 25%;" | EDO
! style="width: 25%;" | GPV
! style="width: 25%;" | GPV
Line 85: Line 84:
|-
|-
| 29 || 28.94 || 31.8 ||  +3.28
| 29 || 28.94 || 31.8 ||  +3.28
|-
| 30 || 30.03 || 24.0 ||  -2.72
|-
| 31 || 31.00 || 37.4 ||  +0.36
|-
| 32 || 32.06 || 28.1 ||  -2.29
|-
| 33 || 32.88 || 26.1 ||  +4.29
|-
| 34 || 34.06 || 36.7 ||  -1.67
|-
| 35 || 34.94 || 28.8 ||  +2.80
|-
| 36 || 36.00 || 34.4 ||  +0.45
|-
| 37 || 37.06 || 32.8 ||  -0.89
|-
| 38 || 37.91 || 35.0 ||  +3.82
|-
| 39 || 39.09 || 35.1 ||  -4.02
|-
| 40 || 39.97 || 30.2 ||  +1.10
|-
| 41 || 41.00 || 40.4 ||  +0.12
|-
| 42 || 42.12 || 30.9 ||  -4.47
|-
| 43 || 43.00 || 37.2 ||  -1.03
|-
| 44 || 44.00 || 33.3 ||  -0.71
|-
| 45 || 44.88 || 35.4 ||  +4.03
|-
| 46 || 45.94 || 40.7 ||  +0.14
|-
| 47 || 46.91 || 30.2 ||  +1.23
|-
| 48 || 48.00 || 35.6 ||  +0.37
|-
| 49 || 49.12 || 37.4 ||  -3.50
|-
| 50 || 49.94 || 39.4 ||  +1.33
|-
| 51 || 51.09 || 34.4 ||  -2.03
|-
| 52 || 51.97 || 31.2 ||  +0.21
|-
| 53 || 53.00 || 42.6 ||  +0.11
|-
| 54 || 54.12 || 33.9 ||  -2.76
|-
| 55 || 54.91 || 35.9 ||  +2.81
|-
| 56 || 56.00 || 38.6 ||  -0.10
|-
| 57 || 56.94 || 36.7 ||  +0.62
|-
| 58 || 58.06 || 42.2 ||  -1.51
|-
| 59 || 59.09 || 32.8 ||  -1.89
|}
|}
[[Category:Badness]]
[[Category:Badness]]
Retrieved from "https://en.xen.wiki/w/Path-based_goodness"