9edo: Difference between revisions
m →Regular temperament properties: cleanup |
ArrowHead294 (talk | contribs) mNo edit summary |
||
| Line 6: | Line 6: | ||
}} | }} | ||
{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
| Line 54: | Line 54: | ||
! [[degree]] | ! [[degree]] | ||
! [[cent]]s | ! [[cent]]s | ||
! Approximate <br>Ratios | ! Approximate<br />Ratios | ||
! colspan="2" | Melodic notation <br> Major wider than minor | ! colspan="2" | Melodic notation<br />Major wider than minor | ||
! colspan="2" | Harmonic notation <br> Major narrower than minor | ! colspan="2" | Harmonic notation<br />Major narrower than minor | ||
! Audio | ! Audio | ||
|- | |- | ||
| Line 70: | Line 70: | ||
| 1 | | 1 | ||
| 133.33 | | 133.33 | ||
| [[14/13]] (+5.035), [[13/12]] (−5.239),<br>[[12/11]] (−17.304) | | [[14/13]] (+5.035), [[13/12]] (−5.239),<br />[[12/11]] (−17.304) | ||
| minor 2nd | | minor 2nd | ||
| E | | E | ||
| Line 88: | Line 88: | ||
| 3 | | 3 | ||
| 400.00 | | 400.00 | ||
| [[5/4]] (+13.686), [[14/11]] (−17.508),<br>[[9/7]] (−35.084) | | [[5/4]] (+13.686), [[14/11]] (−17.508),<br />[[9/7]] (−35.084) | ||
| major 3rd | | major 3rd | ||
| F | | F | ||
| Line 115: | Line 115: | ||
| 6 | | 6 | ||
| 800.00 | | 800.00 | ||
| [[14/9]] (+35.084) [[11/7]] (+17.508),<br>[[8/5]] (−13.686) | | [[14/9]] (+35.084) [[11/7]] (+17.508),<br />[[8/5]] (−13.686) | ||
| minor 6th | | minor 6th | ||
| B | | B | ||
| Line 174: | Line 174: | ||
! rowspan="2" | [[Comma list]] | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve stretch (¢) | ! rowspan="2" | Optimal<br />8ve stretch (¢) | ||
! colspan="2" | Tuning error | ! colspan="2" | Tuning error | ||
|- | |- | ||
| Line 217: | Line 217: | ||
{| class="commatable wikitable center-all left-3 right-4 left-6" | {| class="commatable wikitable center-all left-3 right-4 left-6" | ||
|- | |- | ||
! [[Harmonic limit|Prime<br>limit]] | ! [[Harmonic limit|Prime<br />limit]] | ||
! [[Ratio]]<ref group="note">{{rd}}</ref> | ! [[Ratio]]<ref group="note">{{rd}}</ref> | ||
! [[Monzo]] | ! [[Monzo]] | ||