37th-octave temperaments: Difference between revisions

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[[37edo]] has an extremely precise mapping for the 11th harmonic, and it is a strong 2.5.7.13 tuning besides that, therefore various 37th-octave temperaments occur naturally between any two numbers whose greatest common divisor is 37.

== 37-11-commatic (rank-1) ==

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==~~Dzelic~~==

==Ludidzelic==

~~Dzelic~~ ['d͡zɛlɪk] is named after the ~~Slavic letter dzelo, which represents~~ the number 7, ~~as it takes~~ 7 ~~generator grave minor thirds to reach the third harmonic~~.

''Ludidzelic'' [lʲudi'd͡zɛlɪk] is named after the {{W|Cyrillic numeral}}s representation of the number 37 (Л = ludi = 30, З = dzelo = 7). Also notably, The 3rd harmonic is also is divided into 7 equal parts.

Subgroup: 2.3.5.7

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===13-limit===

14 periods map to [[13/10]], thus equating a stack of three 11/8 with one 13/10 and making ~~dzelic~~ a [[6656/6655|jacobin]] temperament.

14 periods map to [[13/10]] (a property inherited from 37edo), thus equating a stack of three 11/8 with one 13/10 and making ludidzelic a [[6656/6655|jacobin]] temperament.

Subgroup: 2.3.5.7.11.13

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-{{Fractional-octave navigation|37}}
+{{Infobox fractional-octave|37}}
 [[37edo]] has an extremely precise mapping for the 11th harmonic, and it is a strong 2.5.7.13 tuning besides that, therefore various 37th-octave temperaments occur naturally between any two numbers whose greatest common divisor is 37.
 == 37-11-commatic (rank-1) ==
@@ Line 111: / Line 111: @@
 Badness: 0.052475
-==Dzelic==
+==Ludidzelic==
-Dzelic ['d͡zɛlɪk] is named after the Slavic letter dzelo, which represents the number 7, as it takes 7 generator grave minor thirds to reach the third harmonic.
+''Ludidzelic'' [lʲudi'd͡zɛlɪk] is named after the {{W|Cyrillic numeral}}s representation of the number 37 (Л = ludi = 30, З = dzelo = 7). Also notably, The 3rd harmonic is also is divided into 7 equal parts.
 Subgroup: 2.3.5.7
@@ Line 136: / Line 136: @@
 ===13-limit===
-periods map to [[13/10]], thus equating a stack of three 11/8 with one 13/10 and making dzelic a [[6656/6655|jacobin]] temperament.
+periods map to [[13/10]] (a property inherited from 37edo), thus equating a stack of three 11/8 with one 13/10 and making ludidzelic a [[6656/6655|jacobin]] temperament.
 Subgroup: 2.3.5.7.11.13