2edt: Difference between revisions
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Mitigate the silly trivial statements. Switch to integer harmonics for the table |
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== Theory == | == Theory == | ||
As a temperament in the 3.5 [[subgroup]], it tempers out [[27/25]], equating 5/3 with 9/5. | As a temperament in the 3.5 [[subgroup]], it tempers out [[27/25]], equating 5/3 with 9/5. | ||
Since [[26/15]] is a [[convergent]] of sqrt(3), 26/15 (and its [[tritave complement]] 45/26) are good rational representations of the square root of 3. 2edt thus tempers out (26/15)<sup>2</sup> / (3/1) = [[676/675]], the island comma. | Since [[26/15]] is a [[convergent]] of sqrt(3), 26/15 (and its [[tritave complement]] 45/26) are good rational representations of the square root of 3. 2edt thus tempers out (26/15)<sup>2</sup> / (3/1) = [[676/675]], the island comma. | ||
=== Harmonics === | |||
{{Harmonics in equal|2|3|1}} | |||
== | == Relationship to octave temperaments == | ||
One step of 2edt can represent the generator for any rank-2 octavated temperament which takes 2 generators to reach the 3rd harmonic, such as [[monzismic]]. | |||
[[Category:Edt]] | [[Category:Edt]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||