17edo: Difference between revisions

Overthink (talk | contribs)
Commas: expand val; - redundant limit
Overthink (talk | contribs)
Commas: add more
Line 614: Line 614:
| Triru-agu
| Triru-agu
| Orwellisma
| Orwellisma
|-
| 7
| [[17496/16807]]
| {{Monzo| 3 7 0 -5 }}
| 69.555
| Quinru
| Bleu comma
|-
| 7
| [[19683/19208]]
| {{Monzo| -3 9 0 -4 }}
| 42.291
| Laquadru
| Skwares comma
|-
|-
| 7
| 7
Line 656: Line 670:
| Lozoyo
| Lozoyo
| Keenanisma
| Keenanisma
|-
| 13
| [[40/39]]
| {{Monzo| 3 -1 1 0 0 -1 }}
| 43.831
| Thuyo
| Unintendo comma
|-
| 13
| [[65/64]]
| {{Monzo| -6 0 1 0 0 1 }}
| 26.841
| Thoyo
| Wilsorma
|-
|-
| 13
| 13
Line 712: Line 740:
| Satritho
| Satritho
| Threedie
| Threedie
|-
| 23
| [[162/161]]
| {{Monzo| 1 4 0 -1 0 0 0 0 -1 }}
| 10.720
| Twethuru
| Minor kirnbergerisma
|-
|-
| 23
| 23
| [[208/207]]
| [[208/207]]
| [4 -2 0 0 0 1 0 0 -1⟩
| {{Monzo| 4 -2 0 0 0 1 0 0 -1 }}
| 8.343
| 8.3433
| Twethutho 2nd
| Twethutho
| Vicetone comma
| Vicetone comma
|-
| 23
| [[253/252]]
| {{Monzo| -2 -2 0 -1 1 0 0 0 1 }}
| 6.8564
| Twetholoru
| Middle neutravicema
|-
| 23
| [[529/528]]
| {{Monzo| -4 -1 0 0 -1 0 0 0 2 }}
| 3.2758
| Bitwetho-alu
| Preziosisma
|-
| 23
| [[736/729]]
| {{Monzo| 5 -6 0 0 0 0 0 0 1 }}
| 16.544
| Satwetho
| 23-limit Tenney/Cage comma (HEJI)
|}
|}
<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 patent val, the latter two due to 17edo's inaccurate prime 5.
Note that due to the inaccurate prime 5, the rather large commas [[25/24]], [[525/512]], [[45/44]], and [[40/39]] are all tempered out by 17edo's patent val.


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===