Garibaldi: Difference between revisions
→Tunings: note vals |
→Tunings: move the target tunings that don't correspond to significant eigenintervals out of the tuning spectra |
||
| Line 540: | Line 540: | ||
== Tunings == | == Tunings == | ||
=== Target tunings === | |||
{| class="wikitable center-all mw-collapsible mw-collapsed" | |||
|+ style="white-space: nowrap;" | Minimax tunings (garibaldi) | |||
! Target | |||
! Generator | |||
! Eigenmonzo* | |||
|- | |||
| 7-odd-limit | |||
| ~3/2 = 702.2086{{c}} | |||
| 7/6 | |||
|- | |||
| 9-odd-limit | |||
| ~3/2 = 702.1928{{c}} | |||
| 9/7 | |||
|} | |||
{| class="wikitable center-all mw-collapsible mw-collapsed" | |||
|+ style="white-space: nowrap;" | Minimax tunings (cassandra) | |||
! Target | |||
! Generator | |||
! Eigenmonzo* | |||
|- | |||
| 11-odd-limit | |||
| ~3/2 = 702.1928{{c}} | |||
| 9/7 | |||
|- | |||
| 13-odd-limit | |||
| ~3/2 = 702.1089{{c}} | |||
| 13/7 | |||
|- | |||
| 15-odd-limit | |||
| ~3/2 = 702.1089{{c}} | |||
| 13/7 | |||
|} | |||
{| class="wikitable center-all mw-collapsible mw-collapsed" | |||
|+ style="white-space: nowrap;" | Minimax tunings (andromeda) | |||
! Target | |||
! Generator | |||
! Eigenmonzo* | |||
|- | |||
| 11-odd-limit | |||
| ~3/2 = 702.6296{{c}} | |||
| 11/9 | |||
|- | |||
| 13-odd-limit | |||
| ~3/2 = 702.7558{{c}} | |||
| 13/9 | |||
|- | |||
| 15-odd-limit | |||
| ~3/2 = 702.7558{{c}} | |||
| 13/9 | |||
|} | |||
{| class="wikitable center-all mw-collapsible mw-collapsed" | |||
|+ style="white-space: nowrap;" | Minimax tunings (helenus) | |||
! Target | |||
! Generator | |||
! Eigenmonzo* | |||
|- | |||
| 11-odd-limit | |||
| ~3/2 = 701.6435{{c}} | |||
| 11/9 | |||
|- | |||
| 13-odd-limit | |||
| ~3/2 = 701.6435{{c}} | |||
| 11/9 | |||
|- | |||
| 15-odd-limit | |||
| ~3/2 = 701.6435{{c}} | |||
| 11/9 | |||
|} | |||
{| class="wikitable center-1 center-2 mw-collapsible mw-collapsed" | |||
|+ style="white-space: nowrap;" | Least squares tunings (garibaldi) | |||
! Target | |||
! Generator | |||
! Eigenmonzo* | |||
|- | |||
| 7-odd-limit | |||
| ~3/2 = 702.140{{c}} | |||
| {{Monzo| 0 -25 11 35 }} | |||
|- | |||
| 9-odd-limit | |||
| ~3/2 = 702.114{{c}} | |||
| {{Monzo| 0 -27 7 17 }} | |||
|} | |||
{| class="wikitable center-1 center-2 mw-collapsible mw-collapsed" | |||
|+ style="white-space: nowrap;" | Least squares tunings (cassandra) | |||
! Target | |||
! Generator | |||
! Eigenmonzo* | |||
|- | |||
| 11-odd-limit | |||
| ~3/2 = 702.183{{c}} | |||
| {{Monzo| 0 17 -52 -88 134 }} | |||
|- | |||
| 13-odd-limit | |||
| ~3/2 = 702.128{{c}} | |||
| {{Monzo| 0 -38 -80 -122 137 116 }} | |||
|- | |||
| 15-odd-limit | |||
| ~3/2 = 702.112{{c}} | |||
| {{Monzo| 0 -95 -137 -129 167 143 }} | |||
|} | |||
=== Tuning spectra === | === Tuning spectra === | ||
==== Garibaldi ==== | ==== Garibaldi ==== | ||
| Line 735: | Line 842: | ||
| 701.7252 | | 701.7252 | ||
| 2/17 schisma | | 2/17 schisma | ||
|- | |- | ||
| | | | ||
| Line 818: | Line 920: | ||
| | | | ||
| 13/7 | | 13/7 | ||
| 702. | | 702.1089 | ||
| 13- and 15-odd-limit minimax | | 13- and 15-odd-limit minimax | ||
|- | |- | ||
| | | | ||
| Line 830: | Line 927: | ||
| 702.1135 | | 702.1135 | ||
| | | | ||
|- | |- | ||
| | | | ||
| Line 1,076: | Line 1,153: | ||
| | | | ||
| 11/9 | | 11/9 | ||
| 702. | | 702.6296 | ||
| 11-odd-limit minimax | | 11-odd-limit minimax | ||
|- | |- | ||
| Line 1,096: | Line 1,173: | ||
| | | | ||
| 13/9 | | 13/9 | ||
| 702. | | 702.7558 | ||
| 13- and 15-odd-limit minimax | | 13- and 15-odd-limit minimax | ||
|- | |- | ||
| Line 1,259: | Line 1,336: | ||
| | | | ||
| 11/9 | | 11/9 | ||
| 701. | | 701.6435 | ||
| 11-, 13-, and 15-odd-limit minimax | | 11-, 13-, and 15-odd-limit minimax | ||
|- | |- | ||