Xenharmonic Wiki

Ntiscifer: Difference between revisions

← Older edit
VisualWikitext
General cleanup, linking, and style improvements. Remove the 3-limit version (you're not supposed to name an edo).
m - parent category
 
(3 intermediate revisions by 2 users not shown)
Line 7: Line 7:
The circle of 16 fifths with the flat 675-cent fifths shares some properties with the 12edo [[circle of fifths]], namely that the note a tritone from any given note can be found by going halfway around it (8 steps), and that adjacent to that (9 and 7 steps) are the sharpened and flattened version of that note, respectively.  
The circle of 16 fifths with the flat 675-cent fifths shares some properties with the 12edo [[circle of fifths]], namely that the note a tritone from any given note can be found by going halfway around it (8 steps), and that adjacent to that (9 and 7 steps) are the sharpened and flattened version of that note, respectively.  


=== 5-limit ntiscifer ===
See [[16th-octave temperaments #Ntiscifer]] for technical data.  
Equivalent to the 16edo circle of fifths with an added dimension for 5/4. In 16edo, this maps 5/4 to 375 cents, as in mavila temperament. Tunings with a separate, more accurate third include 64edo, 80edo, and 96edo; 96edo is a particularly accurate tuning, though 64edo might be considered more practical.  


[[Subgroup]]: 2.3.5
[[Category:Ntiscifer| ]] <!-- main article -->
 
[[Category:Rank-2 temperaments]]
[[Comma list]]: [[43046721/33554432]]
 
Mapping: TBA
 
Optimal tuning: ~3/2 = 9\16, ~5/4 = TBA
 
Optimal ET sequence: TBA
 
Badness: TBA
Retrieved from "https://en.xen.wiki/w/Ntiscifer"