Talk:Mapped interval

Difference from tempered interval?

Why is it not simply called a tempered interval? FloraC (talk) 09:18, 15 December 2022 (UTC)

Ah, good question, and I should add this to the article itself. "Tempered" is more ambiguous. A "tempered interval" could refer to either to the merely mapped generator of meantone [0 1} or a mapped and tuned interval such as the [0 0 1/4⟩ generator of quarter-comma meantone (which could be less ambiguously referred to as a "projected interval"). But "tempered interval" could even refer to the size/span (such as in cents) from mapping [-1 1 0⟩ by the (tempered-prime) tuning map ⟨1200 1896.578 2786.314] to 696.578 ¢, in the same way we sometimes use "interval" to refer to the "(just) interval (span/size)" of 3/2 as 701.955 ¢. Only "mapped interval" pretty much unambiguously refers to an interval that has been transformed by the mapping matrix. --Cmloegcmluin (talk) 16:03, 15 December 2022 (UTC)