Gariboh family: Difference between revisions

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The '''gariboh family''' of [[rank-3 ~~temperament|rank-3]] [[regular temperament|~~temperament]]s [[tempering out|tempers out]] the gariboh comma, [[3125/3087]].

The '''gariboh family''' of [[rank-3 temperament]]s [[tempering out|tempers out]] the gariboh comma, [[3125/3087]].

== Gariboh ==

Gariboh is generated by a perfect fifth and a narrow minor third of ~25/21, three make ~5/3 and five make ~7/3. [[94edo]] makes for an excellent tuning for it.

Another notable tuning is given by [[TE]], [[CTE]] and [[POTE]], all coinciding at 702.4482{{c}}, 293.7397{{c}} with pure octaves since prime 2 is not involved in the comma to begin with, though its difference from [[CWE]] is practically unnoticeable.

[[Subgroup]]: 2.3.5.7

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Comma list: 275/273, 325/324, 540/539

~~Mapping:~~ {{~~mapping~~| 1 0 0 0 2 2 | 0 1 1 1 2 2 | 0 0 3 5 -7 -6 }}

Optimal tunings:

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Comma list: 144/143, 275/273, 847/845

~~Mapping:~~ {{~~mapping~~| 1 0 0 0 2 2 | 0 1 1 1 1 1 | 0 0 6 10 -1 1 }}

Optimal tunings:

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Comma list: 120/119, 144/143, 170/169, 847/845

~~Mapping:~~ {{~~mapping~~| 1 0 0 0 2 2 3 | 0 1 1 1 1 1 1 | 0 0 6 10 -1 1 -4 }}

{{Mapping|legend=0| 1 0 0 0 2 2 3 | 0 1 1 1 1 1 1 | 0 0 6 10 -1 1 -4 }}

Optimal tunings:

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Badness (Sintel): 1.55

[[Category:Gariboh family| ]]

[[Category:Temperament families]]

[[Category:~~Pages with mostly numerical content]]~~

[[Category:Catalogs of rank-3 temperaments]]

~~[[Category:Gariboh family| ]] <!~~-~~- main article -->~~

~~[[Category:Rank~~ 3]]

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 {{Technical data page}}
-The '''gariboh family''' of [[rank-3 temperament|rank-3]] [[regular temperament|temperament]]s [[tempering out|tempers out]] the gariboh comma, [[3125/3087]].
+The '''gariboh family''' of [[rank-3 temperament]]s [[tempering out|tempers out]] the gariboh comma, [[3125/3087]].
 == Gariboh ==
+Gariboh is generated by a perfect fifth and a narrow minor third of ~25/21, three make ~5/3 and five make ~7/3. [[94edo]] makes for an excellent tuning for it.
+Another notable tuning is given by [[TE]], [[CTE]] and [[POTE]], all coinciding at 702.4482{{c}}, 293.7397{{c}} with pure octaves since prime 2 is not involved in the comma to begin with, though its difference from [[CWE]] is practically unnoticeable.
 [[Subgroup]]: 2.3.5.7
@@ Line 44: / Line 48: @@
 Comma list: 275/273, 325/324, 540/539
-Mapping: {{mapping| 1 0 0 0 2 2 | 0 1 1 1 2 2 | 0 0 3 5 -7 -6 }}
+{{Mapping|legend=0| 1 0 0 0 2 2 | 0 1 1 1 2 2 | 0 0 3 5 -7 -6 }}
 Optimal tunings:
@@ Line 96: / Line 100: @@
 Comma list: 144/143, 275/273, 847/845
-Mapping: {{mapping| 1 0 0 0 2 2 | 0 1 1 1 1 1 | 0 0 6 10 -1 1 }}
+{{Mapping|legend=0| 1 0 0 0 2 2 | 0 1 1 1 1 1 | 0 0 6 10 -1 1 }}
 Optimal tunings:
@@ Line 111: / Line 115: @@
 Comma list: 120/119, 144/143, 170/169, 847/845
-Mapping: {{mapping| 1 0 0 0 2 2 3 | 0 1 1 1 1 1 1 | 0 0 6 10 -1 1 -4 }}
+{{Mapping|legend=0| 1 0 0 0 2 2 3 | 0 1 1 1 1 1 1 | 0 0 6 10 -1 1 -4 }}
 Optimal tunings:
@@ Line 121: / Line 125: @@
 Badness (Sintel): 1.55
+[[Category:Gariboh family| ]] <!-- main article -->
 [[Category:Temperament families]]
-[[Category:Pages with mostly numerical content]]
+[[Category:Catalogs of rank-3 temperaments]]
-[[Category:Gariboh family| ]] <!-- main article -->
-[[Category:Rank 3]]