4edt: Difference between revisions

Xenllium (talk | contribs)
No edit summary
Tags: Mobile edit Mobile web edit
Xenllium (talk | contribs)
Tags: Mobile edit Mobile web edit
Line 37: Line 37:


==Related regular temperaments==
==Related regular temperaments==
4EDT is a generator of the rank-three regular temperament which tempers out 120/119, 171/170, 176/175, 325/323, and 363/361 in the 19-limit, which is supported by [[15edo]] (15g val), [[43edo]], and [[53edo]]. Using two equal divisions of the interval which equals an octave minus the step interval of 4EDT as a generator, it leads the [[Marvel temperaments|interpental]] temperament, which tempers out 99/98, 120/119, 169/168, 171/170, 176/175, and 325/323 in the 19-limit.
4EDT is a generator of the [[Vulture family|vulture temperament]], which tempers out 10485760000/10460353203 in the 5-limit.
 
===19-limit 15g&43&53===
Commas: 120/119, 171/170, 176/175, 325/323, 363/361
 
POTE generator: ~17/13 = 475.455
 
Map: [<1 0 0 4 0 -1 -1 0|, <0 4 0 -3 -3 6 7 -1|, <0 0 1 0 2 1 1 2|]
 
EDOs: 5egh, 10e, 15g, 38f, 43, 53
 
===19-limit interpental (43&53)===
Commas: 99/98, 120/119, 169/168, 171/170, 176/175, 325/323
 
POTE generator: ~16/13 = 362.440
 
Map: [<1 4 -1 1 -5 4 5 -3|, <0 -8 11 6 28 -1 -3 24|]
 
EDOs: 10e, 43, 53


[[Category:Edt]]
[[Category:Edt]]
[[Category:Edonoi]]
[[Category:Edonoi]]
[[Category:Macrotonal]]
[[Category:Macrotonal]]