Tour of regular temperaments: Difference between revisions

Xenllium (talk | contribs)
Xenllium (talk | contribs)
No edit summary
Line 144: Line 144:
; [[Sycamore family|Sycamore or Laleyo family]] (P8, P5/11)
; [[Sycamore family|Sycamore or Laleyo family]] (P8, P5/11)
: The sycamore family tempers out the sycamore comma, {{Monzo|-16 -6 11}} = 48828125/47775744, which is the amount by which five stacked chromatic semitones, 25/24, exceed 6/5, and hence also the amount six exceeds 5/4. Eleven of these generators equals ~3/2.
: The sycamore family tempers out the sycamore comma, {{Monzo|-16 -6 11}} = 48828125/47775744, which is the amount by which five stacked chromatic semitones, 25/24, exceed 6/5, and hence also the amount six exceeds 5/4. Eleven of these generators equals ~3/2.
; [[Quartonic family|Quartonic or Saleyo family]] (P8, P4/11)
: The quartonic family tempers out the quartonic comma, {{Monzo|3 -18 11}} = 390625000/387420489. The generator is ~250/243 = ~45¢, seven generators equals ~6/5, and eleven generators equals ~4/3. An obvious 7-limit interpretation of the generator is ~36/35.


; [[Ditonmic family|Ditonmic or Lala-theyo family]] (P8, c<sup>4</sup>P4/13)
; [[Ditonmic family|Ditonmic or Lala-theyo family]] (P8, c<sup>4</sup>P4/13)