Buzzardsmic clan: Difference between revisions

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The [[2.3.7 subgroup|2.3.7-subgroup]] [[comma]] for the '''buzzardsmic clan''' is the buzzardsma, [[65536/64827]], with [[monzo]] {{monzo| 16 -3 0 -4 }}, which implies that the tritave, [[3/1]], is divided into four intervals each representing a [[21/16]] subfourth. Tempering out this comma implies a sharpened 7th harmonic, and especially a sharpened [[~]]21/16 generator, which approaches the 480{{c}} fourth of [[5edo]].

Extensions of buzzard to incorporate prime 5 along its chain of generators (and therefore the full [[7-limit]]) include septimal buzzard (53 & 58), which tempers out [[1728/1715]] (and [[5120/5103]]); subfourth (58 & 63), which tempers out [[10976/10935]]; and lemongrass (63 & 5), which tempers out [[245/243]]. All are considered below.

Extensions of buzzard to incorporate prime 5 along its chain of generators (and therefore the full [[7-limit]]) include septimal buzzard (53 & 58), which tempers out [[1728/1715]] (and [[5120/5103]]); subfourth (58 & 63), which tempers out [[10976/10935]]; and lemongrass (63 & 68), which tempers out [[245/243]]. All are considered below.

Weak extensions include submajor (10 & 43), which tempers out [[225/224]] and splits [[32/21]] (the superfifth) in two; and thuja (15 & 43), which tempers out [[126/125]] and splits [[21/8]] into three.

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 The [[2.3.7 subgroup|2.3.7-subgroup]] [[comma]] for the '''buzzardsmic clan''' is the buzzardsma, [[65536/64827]], with [[monzo]] {{monzo| 16 -3 0 -4 }}, which implies that the tritave, [[3/1]], is divided into four intervals each representing a [[21/16]] subfourth. Tempering out this comma implies a sharpened 7th harmonic, and especially a sharpened [[~]]21/16 generator, which approaches the 480{{c}} fourth of [[5edo]].
-Extensions of buzzard to incorporate prime 5 along its chain of generators (and therefore the full [[7-limit]]) include septimal buzzard (53 & 58), which tempers out [[1728/1715]] (and [[5120/5103]]); subfourth (58 & 63), which tempers out [[10976/10935]]; and lemongrass (63 & 5), which tempers out [[245/243]]. All are considered below.
+Extensions of buzzard to incorporate prime 5 along its chain of generators (and therefore the full [[7-limit]]) include septimal buzzard (53 & 58), which tempers out [[1728/1715]] (and [[5120/5103]]); subfourth (58 & 63), which tempers out [[10976/10935]]; and lemongrass (63 & 68), which tempers out [[245/243]]. All are considered below.
 Weak extensions include submajor (10 & 43), which tempers out [[225/224]] and splits [[32/21]] (the superfifth) in two; and thuja (15 & 43), which tempers out [[126/125]] and splits [[21/8]] into three.