Valentine: Difference between revisions
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'''Valentine''' is a regular temperament for 7 and 11 | '''Valentine''' is a [[regular temperament]] for the [[7-limit|7-]] and [[11-limit]], which tempers out [[121/120]], [[126/125]], and [[176/175]]. | ||
See [[Starling temperaments #Valentine]] for more technical data. | See [[Starling temperaments #Valentine]] for more technical data. | ||
== Interval chain == | == Interval chain == | ||
Odd harmonics and subharmonics 1–21 are in '''bold'''. | |||
{| class="wikitable center-1 right-2" | {| class="wikitable center-1 right-2" | ||
| Line 11: | Line 11: | ||
! rowspan="2" | Cents* | ! rowspan="2" | Cents* | ||
! rowspan="2" | 11-limit ratios | ! rowspan="2" | 11-limit ratios | ||
! colspan="3" | 13-limit | ! colspan="3" | 13-limit extension | ||
|- | |- | ||
! Valentino | ! Valentino | ||
| Line 19: | Line 19: | ||
| 0 | | 0 | ||
| 0.00 | | 0.00 | ||
| 1/1 | | '''1/1''' | ||
| | | | ||
| | | | ||
| Line 61: | Line 61: | ||
| 6 | | 6 | ||
| 467.29 | | 467.29 | ||
| 21/16 | | '''21/16''' | ||
| | | | ||
| 13/10 | | 13/10 | ||
| Line 117: | Line 117: | ||
| 14 | | 14 | ||
| 1090.34 | | 1090.34 | ||
| 15/8 | | '''15/8''' | ||
| | | | ||
| 13/7 | | 13/7 | ||
| Line 145: | Line 145: | ||
| 18 | | 18 | ||
| 201.86 | | 201.86 | ||
| 9/8 | | '''9/8''' | ||
| | | | ||
| | | | ||
| Line 215: | Line 215: | ||
| 28 | | 28 | ||
| 980.67 | | 980.67 | ||
| | | 99/56 | ||
| | | | ||
| | | | ||
| Line 247: | Line 247: | ||
{{main| Chords of valentine }} | {{main| Chords of valentine }} | ||
== Tuning spectrum == | == Tunings == | ||
=== Tuning spectrum === | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|- | |- | ||
! | ! Edo<br>generator | ||
! [[ | ! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval]]) | ||
! | ! Generator (¢) | ||
! | ! Comments | ||
|- | |- | ||
| [[16edo|1\16]] | | [[16edo|1\16]] | ||
| Line 309: | Line 309: | ||
| 4/3 | | 4/3 | ||
| 77.995 | | 77.995 | ||
| 5-odd-limit minimax | | 5-odd-limit minimax | ||
|- | |- | ||
| | | | ||