Tetracot: Difference between revisions

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'''Tetracot''', in this article, is the rank-2 [[regular temperament]] for the 2.3.5.11.13 [[subgroup]] defined by tempering out [[100/99]], [[144/143]], and [[243/242]].
'''Tetracot''', in this article, is the rank-2 [[regular temperament]] for the 2.3.5.11.13 [[subgroup]] defined by tempering out [[100/99]], [[144/143]], and [[243/242]].


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{| class="wikitable right-1"
{| class="wikitable right-1"
|-
|-
! Generators
! #
! Cents<sup>*</sup>
! Cents<nowiki>*</nowiki>
! Approximate Ratios
! Approximate Ratios
|-
|-
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| 15/13
| 15/13
|}
|}
: <sup>*</sup> in 2.3.5.11.13 POTE tuning
: <nowiki>*</nowiki> in 2.3.5.11.13 POTE tuning


=== Monkey ===
=== Monkey ===
{| class="wikitable right-1"
{| class="wikitable right-1"
|-
|-
! Generators
! #
! Cents<sup>*</sup>
! Cents<sup>*</sup>
! Approximate Ratios
! Approximate Ratios
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| 15/14
| 15/14
|}
|}
: <sup>*</sup> in 13-limit POTE tuning
: <nowiki>*</nowiki> in 13-limit POTE tuning


=== Bunya ===
=== Bunya ===
{| class="wikitable right-1"
{| class="wikitable right-1"
|-
|-
! Generators
! #
! Cents<sup>*</sup>
! Cents<sup>*</sup>
! Approximate Ratios
! Approximate Ratios
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| 14/13
| 14/13
|}
|}
: <sup>*</sup> in 13-limit POTE tuning
: <nowiki>*</nowiki> in 13-limit POTE tuning


=== Modus ===
=== Modus ===
{| class="wikitable right-1"
{| class="wikitable right-1"
|-
|-
! Generators
! #
! Cents<sup>*</sup>
! Cents<sup>*</sup>
! Approximate Ratios
! Approximate Ratios
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| 15/14
| 15/14
|}
|}
: <sup>*</sup> in 13-limit POTE tuning
: <nowiki>*</nowiki> in 13-limit POTE tuning


=== Wollemia ===
=== Wollemia ===
{| class="wikitable right-1"
{| class="wikitable right-1"
|-
|-
! Generators
! #
! Cents<sup>*</sup>
! Cents<sup>*</sup>
! Approximate Ratios
! Approximate Ratios
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| 14/13
| 14/13
|}
|}
: <sup>*</sup> in 13-limit POTE tuning
: <nowiki>*</nowiki> in 13-limit POTE tuning


== Tuning spectra ==
== Tuning spectra ==
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{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
! [[eigenmonzo|eigenmonzo<br>(unchanged-interval)]]
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]
! generator<br>(¢)
! Generator<br>(¢)
! comments
! Comments
|-
|-
| | 11/10
| | 11/10
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{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
! | [[eigenmonzo|eigenmonzo<br>(unchanged-interval)]]
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]
! | generator<br>(¢)
! Generator<br>(¢)
! | comments
! Comments
|-
|-
| | 11/10
| | 11/10
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{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
! | [[eigenmonzo|eigenmonzo<br>(unchanged-interval)]]
! [[Eigenmonzo|eigenmonzo<br>(Unchanged-interval)]]
! | generator<br>(¢)
! Generator<br>(¢)
! | comments
! Comments
|-
|-
| | 11/10
| | 11/10
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{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
! | [[eigenmonzo|eigenmonzo<br>(unchanged-interval)]]
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]
! | generator<br>(¢)
! Generator<br>(¢)
! | comments
! Comments
|-
|-
| | 11/10
| | 11/10
Line 956: Line 955:


[[Category:Temperaments]]
[[Category:Temperaments]]
[[Category:Tetracot| ]] <!-- main article -->
[[Category:Tetracot family]]
[[Category:Tetracot family]]


{{Todo| cleanup |comment=Move 7-limit extensions to their own pages. }}
{{Todo| cleanup |comment=Move 7-limit extensions to their own pages. }}