User:Fitzgerald Lee/Sandbox: Difference between revisions
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| Line 222: | Line 222: | ||
| 68.610 | | 68.610 | ||
| -9 gens | | -9 gens | ||
|} | |||
=== Septimal Extension 1 === | |||
{| class="wikitable center-all left-4" | |||
|- | |||
! Edo<br>generator | |||
! [[Eigenmonzo|Unchanged interval<br>(eigenmonzo)]] | |||
! Generator (¢) | |||
! Comments | |||
|- | |||
| [[18edo|1\18]] | |||
| | |||
| 66.667 | |||
| 18d val | |||
|- | |||
| | |||
| [[21/16]] | |||
| 67.254 | |||
| +7 gens | |||
|- | |||
| | |||
| [[21/20]] | |||
| 67.604 | |||
| +19 gens | |||
|- | |||
| [[71edo|4\71]] | |||
| | |||
| 67.606 | |||
| | |||
|- | |||
| | |||
| [[25/21]] | |||
| 67.682 | |||
| -31 gens | |||
|- | |||
| [[124edo|7\124]] | |||
| | |||
| 67.742 | |||
| | |||
|- | |||
| | |||
| [[7/4]] | |||
| 67.776 | |||
| +32 gens | |||
|- | |||
| | |||
| [[7/5]] | |||
| 67.784 | |||
| +44 gens | |||
|- | |||
| | |||
| [[25/14]] | |||
| 67.789 | |||
| -56 gens | |||
|- | |||
| [[177edo|10\177]] | |||
| | |||
| 67.797 | |||
| | |||
|- | |||
| [[230edo|13\230]] | |||
| | |||
| 67.826 | |||
| | |||
|- | |||
| | |||
| [[15/14]] | |||
| 67.834 | |||
| -69 gens | |||
|- | |||
| | |||
| [[7/6]] | |||
| 67.840 | |||
| +57 gens | |||
|- | |||
| | |||
| [[9/7]] | |||
| 67.865 | |||
| -82 gens | |||
|- | |||
| [[53edo|3\53]] | |||
| | |||
| 67.925 | |||
| | |||
|- | |||
| [[35edo|2\35]] | |||
| | |||
| 68.571 | |||
| 35d val | |||
|} | |} | ||
Revision as of 07:17, 8 February 2026
Fulcrum is kappagamma icosapentacot, as it takes 13 2/1s and 25 48/25s (-25 generators, or gens for short) to reach 3/2.
Tuning spectra
Fulcrum
| Edo generator |
Unchanged interval (eigenmonzo) |
Generator (¢) | Comments |
|---|---|---|---|
| 1\18 | 66.667 | 25/24s slightly flatter than this fall under sycamore | |
| 125/96 | 67.547 | 1/11-comma | |
| 4\71 | 67.606 | ||
| 7\124 | 67.742 | ||
| 10\177 | 67.797 | ||
| 5/4 | 67.807 | 1/12-comma | |
| 13\230 | 67.826 | ||
| 16\283 | 67.845 | ||
| 19\336 | 67.857 | ||
| 75/64 | 67.8657 | 4/49-comma | |
| 22\389 | 67.8663 | ||
| 25\442 | 67.873 | ||
| 28\495 | 67.879 | ||
| 31\548 | 67.883 | ||
| 15/8 | 67.885 | 3/37-comma | |
| 34\601 | 67.887 | ||
| 3/2 | 67.922 | 2/25-comma | |
| 3\53 | 67.925 | ||
| 10/9 | 67.958 | 3/38-comma | |
| 5/3 | 68.028 | 1/13-comma | |
| 11\194 | 68.041 | ||
| 8\141 | 68.085 | ||
| 5\88 | 68.182 | ||
| 125/72 | 68.217 | 1/14-comma | |
| 2\35 | 68.571 | ||
| 25/24 | 70.672 | Untempered, 25/24s slightly sharper than this fall under vishnu |
Septimal Fulcrum
| Edo generator |
Unchanged interval (eigenmonzo) |
Generator (¢) | Comments |
|---|---|---|---|
| 28/25 | 65.399 | +3 gens | |
| 1\18 | 66.667 | ||
| 7/6 | 66.718 | +4 gens | |
| 15/14 | 67.535 | -16 gens | |
| 9/7 | 67.756 | -29 gens | |
| 3\53 | 67.925 | ||
| 21/16 | 68.027 | -46 gens | |
| 11\194 | 68.041 | ||
| 8\141 | 68.085 | ||
| 21/20 | 68.104 | -34 gens | |
| 7/4 | 68.151 | -21 gens | |
| 5\88 | 68.182 | ||
| 25/21 | 68.266 | +22 gens | |
| 2\35 | 68.571 | ||
| 7/5 | 68.610 | -9 gens |
Septimal Extension 1
| Edo generator |
Unchanged interval (eigenmonzo) |
Generator (¢) | Comments |
|---|---|---|---|
| 1\18 | 66.667 | 18d val | |
| 21/16 | 67.254 | +7 gens | |
| 21/20 | 67.604 | +19 gens | |
| 4\71 | 67.606 | ||
| 25/21 | 67.682 | -31 gens | |
| 7\124 | 67.742 | ||
| 7/4 | 67.776 | +32 gens | |
| 7/5 | 67.784 | +44 gens | |
| 25/14 | 67.789 | -56 gens | |
| 10\177 | 67.797 | ||
| 13\230 | 67.826 | ||
| 15/14 | 67.834 | -69 gens | |
| 7/6 | 67.840 | +57 gens | |
| 9/7 | 67.865 | -82 gens | |
| 3\53 | 67.925 | ||
| 2\35 | 68.571 | 35d val |