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	== Temperaments ==		== Temperaments ==
	Tempering out this comma leads to the rank-12 ~~temperament~~ '''canupismic'''. Using the 2.3.5.7.13.29.41 subgroup leads to the rank-6 ~~temperament~~ '''canupic'''.		Tempering out this comma leads to the rank-12 '''canupismic''' temperament. Using the 2.3.5.7.13.29.41 subgroup leads to the rank-6 '''canupic''' temperament.

	=== Canupismic ===		=== Canupismic ===

	[[Subgroup]]: 2.3.5.7.11.13.17.19.23.29.31.37.41		[[Subgroup]]: 2.3.5.7.11.13.17.19.23.29.31.37.41

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	[[Mapping]]: <br>		[[Mapping]]: <br>
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	\| [⟨ \|\| 1 \|\| 1 \|\| 2 \|\| 2 \|\| 3 \|\| 3 \|\| 4 \|\| 4 \|\| 4 \|\| 4 \|\| 4 \|\| 5 \|\| 4 \|\| ],		\| [⟨ \|\| 1 \|\| 1 \|\| 2 \|\| 2 \|\| 3 \|\| 3 \|\| 4 \|\| 4 \|\| 4 \|\| 4 \|\| 4 \|\| 5 \|\| 4 \|\| ],
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	=== Canupic ===		=== Canupic ===

	[[Subgroup]]: 2.3.5.7.13.29.41		[[Subgroup]]: 2.3.5.7.13.29.41

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	\| [⟨ \|\| 1 \|\| 1 \|\| 2 \|\| 2 \|\| 3 \|\| 4 \|\| 4 \|\| ],		\| [⟨ \|\| 1 \|\| 1 \|\| 2 \|\| 2 \|\| 3 \|\| 4 \|\| 4 \|\| ],
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Francium: Created page with "{{Infobox Interval | Ratio = 17836/17835 | Name = Canupisma | Color name = 41u29u3oz³g3
fowutwenuthotrizo-agu 3rd | Comma = yes }} '''17836/17835''', the '''c..."

2024-11-19T19:49:24Z

Created page with "{{Infobox Interval | Ratio = 17836/17835 | Name = Canupisma | Color name = 41u29u3oz3g3 fowutwenuthotrizo-agu 3rd | Comma = yes }} '''17836/17835''', the '''c..."

New page

{{Infobox Interval
| Ratio = 17836/17835
| Name = Canupisma
| Color name = 41u29u3oz3g3 fowutwenuthotrizo-agu 3rd
| Comma = yes
}}

'''17836/17835''', the '''canupisma''' is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 0.097 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[616/615]] and [[638/637]]
* [[3773/3772]] and [[4785/4784]]
* [[7176/7175]] and [[12006/12005]]

It can be factored into following superparticular commas:
* [[19344/19343]] and [[228781/228780]]
* [[19551/19550]] and [[203320/203319]]
* [[19845/19844]] and [[176176/176175]]
* [[31213/31212]] and [[41616/41615]]

== Temperaments ==
Tempering out this comma leads to the rank-12 temperament '''canupismic'''. Using the 2.3.5.7.13.29.41 subgroup leads to the rank-6 temperament '''canupic'''.

=== Canupismic ===

[[Subgroup]]: 2.3.5.7.11.13.17.19.23.29.31.37.41

[[Comma list]]: 17836/17835

[[Mapping]]: 
{| class="right-all"
| [⟨ || 1 || 1 || 2 || 2 || 3 || 3 || 4 || 4 || 4 || 4 || 4 || 5 || 4 || ],
|-
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 3 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || ]]
|}

[[Optimal tuning]] ([[CTE]]): ~2/1 = 1\1, ~3/2 = 701.957, ~5/4 = 386.317, ~7/4 = 968.810, ~11/8 = 551.318, ~13/8 = 840.518, ~17/16 = 104.955, ~19/16 = 297.513, ~23/16 = 628.274, ~29/16 = 1029.593, ~31/16 = 1145.036, ~37/32 = 251.344

=== Canupic ===

[[Subgroup]]: 2.3.5.7.13.29.41

[[Comma list]]: 17836/17835

[[Mapping]]: 
{| class="right-all"
| [⟨ || 1 || 1 || 2 || 2 || 3 || 4 || 4 || ],
|-
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || 3 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 1 || -1 || ]]
|}

[[Optimal tuning]] ([[CTE]]): ~2/1 = 1\1, ~3/2 = 701.957, ~5/4 = 386.317, ~7/4 = 968.810, ~13/8 = 840.518, ~29/16 = 1029.593

{{Optimal ET sequence|legend=1| 5, 7dfjjmmm, 7djjm, 8dmm, 9j, 10m, 12fjm, 15, 17c, 19m, 27, 31, 39dfjmm, 41fm, 41, 53j, 58, 80, 94, 99, 103, 111j, 118, 121m, 140, 171, 198, 243, 251j, 292m, 301, 311, 354, 373, 441, 494, 513, 571, 711, 814, 954j, 1065, 1205, 1578, 1619, 1677, 1817, 2019, 2190, 3395, 5585, 8980 }}

== Etymology ==
This comma was named by [[Francium]] in 2024. It refers to the asteroid {{W|17836 Canup}}, which in turn was named after the astrophysicist {{W|Robin Canup}}.

== See also ==
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]

[[Category:Commas named after asteroids]]
[[Category:Commas named after individuals]]

Canupisma - Revision history

ArrowHead294: Formatting

Francium: Created page with "{{Infobox Interval | Ratio = 17836/17835 | Name = Canupisma | Color name = 41u29u3oz3g3 fowutwenuthotrizo-agu 3rd | Comma = yes }} '''17836/17835''', the '''c..."

Francium: Created page with "{{Infobox Interval | Ratio = 17836/17835 | Name = Canupisma | Color name = 41u29u3oz³g3
fowutwenuthotrizo-agu 3rd | Comma = yes }} '''17836/17835''', the '''c..."