Uniform map: Difference between revisions

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A '''uniform map''' is any ~~near-just~~ [[map]] found by ''uniformly'' multiplying every entry of the [[just intonation point]] (JIP) for some prime limit <math>p</math>, {{map|log₂2 log₂3 log₂5 ... log₂<math>p</math>}}, by the same positive real number before rounding them to integers.

A '''uniform map''' is any [[map]] found by ''uniformly'' multiplying every entry of the [[just intonation point]] (JIP) for some prime limit <math>p</math>, {{map|log₂2 log₂3 log₂5 ... log₂<math>p</math>}}, by the same positive real number before rounding them to integers.

[[File:Uniform maps.png|thumb|right|500px|This visualizes EDO maps. We could call it the uniform map continuum. Generator size decreases to the right, so the EDO number goes up. Each colored cell is the closest approximation of steps to a prime for that generator size. We can see uniform maps as any set of step counts for primes found as perfectly vertical lines drawn through such a diagram. And integer uniform maps would be any such vertical line that is also drawn straight through a number which appears in the row for n-ED2.]]

Revision as of 18:01, 16 December 2021 view source Cmloegcmluin (talk \| contribs) autopatrolled, emailconfirmed 5,160 edits update diagram ← Older edit		Revision as of 15:59, 17 December 2021 view source Cmloegcmluin (talk \| contribs) autopatrolled, emailconfirmed 5,160 edits m delete near-just Newer edit →
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	A '''uniform map''' is any ~~near-just~~ [[map]] found by ''uniformly'' multiplying every entry of the [[just intonation point]] (JIP) for some prime limit <math>p</math>, {{map\|log₂2 log₂3 log₂5 ... log₂<math>p</math>}}, by the same positive real number before rounding them to integers.		A '''uniform map''' is any [[map]] found by ''uniformly'' multiplying every entry of the [[just intonation point]] (JIP) for some prime limit <math>p</math>, {{map\|log₂2 log₂3 log₂5 ... log₂<math>p</math>}}, by the same positive real number before rounding them to integers.

	[[File:Uniform maps.png\|thumb\|right\|500px\|This visualizes EDO maps. We could call it the uniform map continuum. Generator size decreases to the right, so the EDO number goes up. Each colored cell is the closest approximation of steps to a prime for that generator size. We can see uniform maps as any set of step counts for primes found as perfectly vertical lines drawn through such a diagram. And integer uniform maps would be any such vertical line that is also drawn straight through a number which appears in the row for n-ED2.]]		[[File:Uniform maps.png\|thumb\|right\|500px\|This visualizes EDO maps. We could call it the uniform map continuum. Generator size decreases to the right, so the EDO number goes up. Each colored cell is the closest approximation of steps to a prime for that generator size. We can see uniform maps as any set of step counts for primes found as perfectly vertical lines drawn through such a diagram. And integer uniform maps would be any such vertical line that is also drawn straight through a number which appears in the row for n-ED2.]]