Escapade family: Difference between revisions
mNo edit summary |
added harmonic tables to strong extensions |
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| Line 55: | Line 55: | ||
Badness: 0.0107 | Badness: 0.0107 | ||
{| class="wikitable center-1 center-2 center-3 center-4 mw-collapsible mw-collapsed" | |||
|+ style="font-size: 105%;" | Harmonics | |||
|- | |||
! rowspan="2" | Prime harmonic !! rowspan="2" | Just tuning !! colspan="2" | Tunings | |||
|- | |||
! CTE tuning !! Deviation | |||
|- | |||
| 3/2 || 701.955 || 702.516 || +0.561 | |||
|- | |||
| 5/4 || 386.314 || 386.932 || +0.618 | |||
|- | |||
| 11/8 || 551.318 || 552.760 || +1.442 | |||
|} | |||
== Strong extensions == | == Strong extensions == | ||
| Line 72: | Line 86: | ||
Badness (Dirichlet): 0.251 | Badness (Dirichlet): 0.251 | ||
{| class="wikitable center-1 center-2 center-3 center-4 mw-collapsible mw-collapsed" | |||
|+ style="font-size: 105%;" | Harmonics | |||
|- | |||
! rowspan="2" | Prime harmonic !! rowspan="2" | Just tuning !! colspan="2" | Tunings | |||
|- | |||
! CTE tuning !! Deviation | |||
|- | |||
| 3/2 || 701.955 || 702.518 || +0.563 | |||
|- | |||
| 5/4 || 386.314 || 386.931 || +0.617 | |||
|- | |||
| 11/8 || 551.318 || 552.758 || +1.440 | |||
|- | |||
| 31/16 || 1145.036 || 1144.724 || -0.311 | |||
|} | |||
=== Escapist === | === Escapist === | ||
| Line 87: | Line 117: | ||
Badness: 0.036700 | Badness: 0.036700 | ||
{| class="wikitable center-1 center-2 center-3 center-4 mw-collapsible mw-collapsed" | |||
|+ style="font-size: 105%;" | Harmonics | |||
|- | |||
! rowspan="2" | Prime harmonic !! rowspan="2" | Just tuning !! colspan="2" | Tunings | |||
|- | |||
! CTE tuning !! Deviation | |||
|- | |||
| 3/2 || 701.955 || 701.626 || -0.329 | |||
|- | |||
| 5/4 || 386.314 || 387.624 || +1.310 | |||
|- | |||
| 7/4 || 968.826 || 978.501 || +0.617 | |||
|- | |||
| 11/8 || 551.318 || 553.749 || +2.431 | |||
|} | |||
==== 13-limit ==== | ==== 13-limit ==== | ||
| Line 117: | Line 163: | ||
Badness: 0.035844 | Badness: 0.035844 | ||
{| class="wikitable center-1 center-2 center-3 center-4 mw-collapsible mw-collapsed" | |||
|+ style="font-size: 105%;" | Harmonics | |||
|- | |||
! rowspan="2" | Prime harmonic !! rowspan="2" | Just tuning !! colspan="2" | Tunings | |||
|- | |||
! CTE tuning !! Deviation | |||
|- | |||
| 3/2 || 701.955 || 703.831 || +1.876 | |||
|- | |||
| 5/4 || 386.314 || 385.909 || -0.405 | |||
|- | |||
| 7/4 || 968.826 || 966.624 || -2.202 | |||
|- | |||
| 11/8 || 551.318 || 551.299 || -0.019 | |||
|} | |||
==== 13-limit ==== | ==== 13-limit ==== | ||
| Line 145: | Line 207: | ||
Badness: 0.029638 | Badness: 0.029638 | ||
{| class="wikitable center-1 center-2 center-3 center-4 mw-collapsible mw-collapsed" | |||
|+ style="font-size: 105%;" | Harmonics | |||
|- | |||
! rowspan="2" | Prime harmonic !! rowspan="2" | Just tuning !! colspan="2" | Tunings | |||
|- | |||
! CTE tuning !! Deviation | |||
|- | |||
| 3/2 || 701.955 || 702.918 || +0.963 | |||
|- | |||
| 5/4 || 386.314 || 386.620 || +0.306 | |||
|- | |||
| 7/4 || 968.826 || 969.113 || +0.287 | |||
|- | |||
| 11/8 || 551.318 || 552.314 || +0.996 | |||
|} | |||
==== 13-limit ==== | ==== 13-limit ==== | ||