Cuthbert chords: Difference between revisions

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The '''cuthbert triad''' is an [[Dyadic chord|essentially tempered dyadic triad]] which consists of two [[13/11]] thirds making up a [[7/5]], which implies tempering by [[cuthbert]], the [[847/845]] comma. It is, in other words, the 847/845-tempered version of 1-13/11-7/5. The cuthbert triad can be extended to the [[garibert tetrad]], which is the {275/273, 847/845} garibert tempering of a tetrad ~~with steps of size 13/11~~-13/11-13/11-[[6/5]]~~, leading to a garibert tempering~~ of 1-13/11-7/5-[[5/3]]. Equal temperaments with cuthbert triads include ~~[[29edo]]~~, ~~[[33edo]]~~, ~~[[37edo]]~~, ~~[[41edo]]~~, ~~[[46edo]]~~, ~~[[50edo]]~~, ~~[[53edo]]~~, ~~[[58edo]]~~, ~~[[70edo]]~~, ~~[[87edo]]~~, ~~[[94edo]]~~, ~~[[99edo]]~~, ~~[[103edo]]~~, ~~[[111edo]]~~, ~~[[128edo]]~~, ~~[[140edo]]~~, ~~[[149edo]]~~, ~~[[177edo]]~~, ~~[[190edo]]~~, 198, 205, 227, 264, 284 and 388. Equal temperaments with garibert tetrads include 41, 53, and 94; and it is a characteristic chord of [[13-limit]] [[~~Schismatic family#Garibaldi|~~garibaldi temperament]].

The '''cuthbert triad''' is an [[Dyadic chord|essentially tempered dyadic triad]] which consists of two [[13/11]] thirds making up a [[7/5]], which implies tempering by cuthbert, the [[847/845]] comma. It is, in other words, the 847/845-tempered version of

[[Category:13-limit]]

* 1-13/11-7/5, with steps 13/11-13/11-7/5.

[[Category:~~Chords~~]]

The cuthbert triad can be extended to the '''garibert tetrad''', which is the {275/273, 847/845} garibert tempering of a tetrad,

* 1-13/11-7/5-[[5/3]] with steps of size 13/11-13/11-13/11-[[6/5]].

Equal temperaments with cuthbert triads include {{EDOs| 29, 33, 37, 41, 46, 50, 53, 58, 70, 87, 94, 99, 103, 111, 128, 140, 149, 177, 190, 198, 205, 227, 264, 284 and 388 }}. Equal temperaments with garibert tetrads include 41, 53, and 94; and it is a characteristic chord of [[13-limit]] [[garibaldi temperament]].

[[Category:13-odd-limit]]

[[Category:Essentially tempered chords]]

[[Category:Dyadic]]

[[Category:Triad]]

[[Category:Cuthbert]]

~~[[Category:Dyadic]]~~

[[Category:Garibaldi]]

[[Category:Garibert]]

[[Category:~~Gassorma]]~~

[[Category:Gassormic]]

~~[[Category:Triad~~]]

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-The '''cuthbert triad''' is an [[Dyadic chord|essentially tempered dyadic triad]] which consists of two [[13/11]] thirds making up a [[7/5]], which implies tempering by [[cuthbert]], the [[847/845]] comma. It is, in other words, the 847/845-tempered version of 1-13/11-7/5. The cuthbert triad can be extended to the [[garibert tetrad]], which is the {275/273, 847/845} garibert tempering of a tetrad with steps of size 13/11-13/11-13/11-[[6/5]], leading to a garibert tempering of 1-13/11-7/5-[[5/3]]. Equal temperaments with cuthbert triads include [[29edo]], [[33edo]], [[37edo]], [[41edo]], [[46edo]], [[50edo]], [[53edo]], [[58edo]], [[70edo]], [[87edo]], [[94edo]], [[99edo]], [[103edo]], [[111edo]], [[128edo]], [[140edo]], [[149edo]], [[177edo]], [[190edo]], 198, 205, 227, 264, 284 and 388. Equal temperaments with garibert tetrads include 41, 53, and 94; and it is a characteristic chord of [[13-limit]] [[Schismatic family#Garibaldi|garibaldi temperament]].
+The '''cuthbert triad''' is an [[Dyadic chord|essentially tempered dyadic triad]] which consists of two [[13/11]] thirds making up a [[7/5]], which implies tempering by cuthbert, the [[847/845]] comma. It is, in other words, the 847/845-tempered version of
-[[Category:13-limit]]
+* 1-13/11-7/5, with steps 13/11-13/11-7/5.
-[[Category:Chords]]
+The cuthbert triad can be extended to the '''garibert tetrad''', which is the {275/273, 847/845} garibert tempering of a tetrad,
+* 1-13/11-7/5-[[5/3]] with steps of size 13/11-13/11-13/11-[[6/5]].
+Equal temperaments with cuthbert triads include {{EDOs| 29, 33, 37, 41, 46, 50, 53, 58, 70, 87, 94, 99, 103, 111, 128, 140, 149, 177, 190, 198, 205, 227, 264, 284 and 388 }}. Equal temperaments with garibert tetrads include 41, 53, and 94; and it is a characteristic chord of [[13-limit]] [[garibaldi temperament]].
+[[Category:13-odd-limit]]
+[[Category:Essentially tempered chords]]
+[[Category:Dyadic]]
+[[Category:Triad]]
 [[Category:Cuthbert]]
-[[Category:Dyadic]]
 [[Category:Garibaldi]]
 [[Category:Garibert]]
-[[Category:Gassorma]]
+[[Category:Gassormic]]
-[[Category:Triad]]