59edt: Difference between revisions

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'''59EDT''' is the [[Edt|equal division of the third harmonic]] into 59 parts of 32.2365 [[cent|cents]] each, corresponding to 37.2249 [[edo]]. It is related to the regular temperament which tempers out |413 -347 59> in the 5-limit, which is supported by 335, 1489, 1824, 2159, 2494, 2829, and 3164 EDOs.

'''59EDT''' is the [[Edt|equal division of the third harmonic]] into 59 parts of 32.2365 [[cent|cents]] each, corresponding to 37.2249 [[edo]]. It is related to the regular temperament which tempers out |413 -347 59> in the 5-limit, which is supported by [[335edo|335]], [[1489edo|1489]], [[1824edo|1824]], [[2159edo|2159]], [[2494edo|2494]], [[2829edo|2829]], and [[3164edo|3164]] EDOs.

=Related regular temperaments=

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Map: [<1 0 2|, <0 59 12|]

EDOs: 37, 149, 186, 335, 484, 521

EDOs: {{EDOs|37, 149, 186, 335, 484, 521}}

===7-limit 149&186===

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Map: [<1 0 2 2|, <0 59 12 30|]

EDOs: 37, 149, 186, 335

EDOs: {{EDOs|37, 149, 186, 335}}

===7-limit 149d&186===

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Map: [<1 0 2 7|, <0 59 12 -156|]

EDOs: 149d, 186, 335d, 521, 707

EDOs: {{EDOs|149d, 186, 335d, 521, 707}}

===7-limit 149&186d===

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Map: [<1 0 2 -2|, <0 59 12 179|]

EDOs: 149, 186d, 335d, 484, 633

EDOs: {{EDOs|149, 186d, 335d, 484, 633}}

==335&2159 temperament==

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Map: [<1 0 -7|, <0 59 347|]

EDOs: 335, 1489, 1824, 2159, 2494, 2829, 3164

EDOs: {{EDOs|335, 1489, 1824, 2159, 2494, 2829, 3164}}

[[Category:Edt]]

[[Category:Edonoi]]

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''59EDT''' is the [[Edt|equal division of the third harmonic]] into 59 parts of 32.2365 [[cent|cents]] each, corresponding to 37.2249 [[edo]]. It is related to the regular temperament which tempers out |413 -347 59&gt; in the 5-limit, which is supported by 335, 1489, 1824, 2159, 2494, 2829, and 3164 EDOs.
+'''59EDT''' is the [[Edt|equal division of the third harmonic]] into 59 parts of 32.2365 [[cent|cents]] each, corresponding to 37.2249 [[edo]]. It is related to the regular temperament which tempers out |413 -347 59&gt; in the 5-limit, which is supported by [[335edo|335]], [[1489edo|1489]], [[1824edo|1824]], [[2159edo|2159]], [[2494edo|2494]], [[2829edo|2829]], and [[3164edo|3164]] EDOs.
 =Related regular temperaments=
@@ Line 11: / Line 11: @@
 Map: [&lt;1 0 2|, &lt;0 59 12|]
-EDOs: 37, 149, 186, 335, 484, 521
+EDOs: {{EDOs|37, 149, 186, 335, 484, 521}}
 ===7-limit 149&amp;186===
@@ Line 20: / Line 20: @@
 Map: [&lt;1 0 2 2|, &lt;0 59 12 30|]
-EDOs: 37, 149, 186, 335
+EDOs: {{EDOs|37, 149, 186, 335}}
 ===7-limit 149d&amp;186===
@@ Line 29: / Line 29: @@
 Map: [&lt;1 0 2 7|, &lt;0 59 12 -156|]
-EDOs: 149d, 186, 335d, 521, 707
+EDOs: {{EDOs|149d, 186, 335d, 521, 707}}
 ===7-limit 149&amp;186d===
@@ Line 38: / Line 38: @@
 Map: [&lt;1 0 2 -2|, &lt;0 59 12 179|]
-EDOs: 149, 186d, 335d, 484, 633
+EDOs: {{EDOs|149, 186d, 335d, 484, 633}}
 ==335&amp;2159 temperament==
@@ Line 48: / Line 48: @@
 Map: [&lt;1 0 -7|, &lt;0 59 347|]
-EDOs: 335, 1489, 1824, 2159, 2494, 2829, 3164
+EDOs: {{EDOs|335, 1489, 1824, 2159, 2494, 2829, 3164}}
 [[Category:Edt]]
 [[Category:Edonoi]]