17edo: Difference between revisions
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! [[Harmonic limit|Prime<br>limit]] | ! [[Harmonic limit|Prime<br>limit]] | ||
! [[Ratio]]<ref group="note">Ratios longer than 10 digits are presented by placeholders with informative hints</ref> | ! [[Ratio]]<ref group="note">Ratios longer than 10 digits are presented by placeholders with informative hints.</ref> | ||
! [[Monzo]] | ! [[Monzo]] | ||
! [[Cent]]s | ! [[Cent]]s | ||
| Line 567: | Line 567: | ||
|- | |- | ||
| 3 | | 3 | ||
| | | <abbr title="134217728/129140163">(18 digits)</abbr> | ||
| {{Monzo| 27 -17 }} | | {{Monzo| 27 -17 }} | ||
| 66.765 | | 66.765 | ||
| Line 586: | Line 586: | ||
| Layo | | Layo | ||
| Schisma | | Schisma | ||
|- | |||
| 7 | |||
| [[64/63]] | |||
| {{Monzo| 6 -2 0 -1 }} | |||
| 27.264 | |||
| Ru | |||
| Septimal comma | |||
|- | |- | ||
| 7 | | 7 | ||
| Line 593: | Line 600: | ||
| Lazoyoyo | | Lazoyoyo | ||
| Avicennma | | Avicennma | ||
|- | |- | ||
| 7 | | 7 | ||
| Line 621: | Line 621: | ||
| Quinzo-ayoyo | | Quinzo-ayoyo | ||
| [[Wizma]] | | [[Wizma]] | ||
|- | |||
| 11 | |||
| [[45/44]] | |||
| {{Monzo| -2 2 1 0 -1 }} | |||
| 38.906 | |||
| Luyo | |||
| Cake comma | |||
|- | |- | ||
| 11 | | 11 | ||
| Line 641: | Line 648: | ||
| 7.1391 | | 7.1391 | ||
| Lulu | | Lulu | ||
| Rastma | | Rastma, neutral thirds comma | ||
|- | |- | ||
| 11 | | 11 | ||
| Line 651: | Line 658: | ||
|- | |- | ||
| 13 | | 13 | ||
| [[ | | [[78/77]] | ||
| {{Monzo| | | {{Monzo| 1 1 0 -1 -1 1 }} | ||
| | | 22.339 | ||
| | | Tholuru | ||
| | | Negustma | ||
|- | |||
| 13 | |||
| [[144/143]] | |||
| {{Monzo| 4 2 0 0 -1 -1 }} | |||
| 12.064 | |||
| Thulu | |||
| Grossma | |||
|- | |||
| 13 | |||
| [[169/168]] | |||
| {{Monzo| -3 -1 0 -1 0 2 }} | |||
| 10.274 | |||
| Thothoru | |||
| Buzurgisma, dhanvantarisma | |||
|- | |- | ||
| 13 | | 13 | ||
| [[352/351]] | | [[352/351]] | ||
| [5 -3 0 0 1 -1⟩ | | [5 -3 0 0 1 -1⟩ | ||
| 4. | | 4.9253 | ||
| Thulo | | Thulo | ||
| Major minthma | | Major minthma | ||
| Line 667: | Line 688: | ||
| [[364/363]] | | [[364/363]] | ||
| {{Monzo| 2 -1 0 1 -2 1 }} | | {{Monzo| 2 -1 0 1 -2 1 }} | ||
| 4. | | 4.7627 | ||
| Tholuluzo | | Tholuluzo | ||
| Minor minthma | | Minor minthma | ||
|- | |- | ||
| | | 13 | ||
| [[ | | [[512/507]] | ||
| {{Monzo| 3 -3 - | | {{Monzo| 9 -1 0 0 0 -2 }} | ||
| | | 16.990 | ||
| | | Thuthu | ||
| | | Tridecimal neutral thirds comma | ||
|- | |||
| 13 | |||
| [[1352/1331]] | |||
| {{Monzo| 3 0 0 0 -3 2 }} | |||
| 27.101 | |||
| Bithotrilu | |||
| Lovecraft comma | |||
|- | |||
| 13 | |||
| [[2197/2187]] | |||
| {{Monzo| 0 -7 0 0 0 3 }} | |||
| 7.8980 | |||
| Satritho | |||
| Threedie | |||
|- | |- | ||
| 23 | | 23 | ||
| Line 684: | Line 719: | ||
| Twethutho 2nd | | Twethutho 2nd | ||
| Vicetone comma | | Vicetone comma | ||
|} | |} | ||
<references group="note" /> | <references group="note" /> | ||
Note that despite their relatively large size, the 17-comma, the avicennma and the chromatic semitone are all tempered out by the 13-limit patent val, | Note that despite their relatively large size, the 17-comma, the avicennma and the chromatic semitone are all tempered out by the 13-limit patent val, the latter two due to 17edo's inaccurate prime 5. | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||