36edo: Difference between revisions
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In particle physics, [https://en.wikipedia.org/wiki/Baryon baryons], which are the main building blocks of atomic nuclei, are always comprised of three quarks. One could draw an analogy between baryons and semitones (the main building block of 12edo); the baryon is comprised of three quarks and the semitone of three sixth-tones. The number of quarks in a [https://en.wikipedia.org/wiki/Color_charge colorless] particle is always a multiple of three; similarly, the width of "colorless" intervals (the 12-edo intervals, which are neither red nor blue), expressed in terms of sixth-tones, is always a multiple of three. Because of this amusing coincidence, Mason Green proposes referring to the 33.333-cent sixth-tone interval as a "quark". | In particle physics, [https://en.wikipedia.org/wiki/Baryon baryons], which are the main building blocks of atomic nuclei, are always comprised of three quarks. One could draw an analogy between baryons and semitones (the main building block of 12edo); the baryon is comprised of three quarks and the semitone of three sixth-tones. The number of quarks in a [https://en.wikipedia.org/wiki/Color_charge colorless] particle is always a multiple of three; similarly, the width of "colorless" intervals (the 12-edo intervals, which are neither red nor blue), expressed in terms of sixth-tones, is always a multiple of three. Because of this amusing coincidence, Mason Green proposes referring to the 33.333-cent sixth-tone interval as a "quark". | ||
== JI | == JI Approximation == | ||
[[File:36ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 29-limit intervals approximated in 36edo]] | [[File:36ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 29-limit intervals approximated in 36edo]] | ||
=== Interval mappings === | |||
{{Q-odd-limit intervals|36}} | |||
=== 3-limit (Pythagorean) approximations (same as 12edo): === | === 3-limit (Pythagorean) approximations (same as 12edo): === | ||
3/2 = 701.955... cents; 21 degrees of 36edo = 700 cents. | 3/2 = 701.955... cents; 21 degrees of 36edo = 700 cents. | ||