FloraC: FloraC moved page Aunusisma to 1480/1479 over redirect: 8-digit ratios are okay as page titles

2025-01-07T14:19:23Z

FloraC moved page Aunusisma to 1480/1479 over redirect: 8-digit ratios are okay as page titles

← Older revision	Revision as of 14:19, 7 January 2025
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Francium: Created page with "{{Infobox Interval | Ratio = 1480/1479 | Name = aunusisma | Color name = 37o29u17uy1
thisotwenusuyo unison | Comma = yes }} '''1480/1479''', the '''aunusisma''', is a ..."

2024-12-28T21:24:26Z

Created page with "{{Infobox Interval | Ratio = 1480/1479 | Name = aunusisma | Color name = 37o29u17uy1 <br> thisotwenusuyo unison | Comma = yes }} '''1480/1479''', the '''aunusisma''', is a ..."

New page

{{Infobox Interval
| Ratio = 1480/1479
| Name = aunusisma
| Color name = 37o29u17uy1 <br> thisotwenusuyo unison
| Comma = yes
}}

'''1480/1479''', the '''aunusisma''', is a [[37-limit]] [[superparticular interval|superparticular ratio]] of about 1.2 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[222/221]] and [[261/260]]
* [[320/319]] and [[408/407]]
* [[407/406]] and [[561/560]]

It can be factored into the following superparticular intervals:
* [[1520/1519]] and [[56203/56202]]
* [[1540/1539]] and [[37962/37961]]
* [[1596/1595]] and [[20350/20349]]
* [[1625/1624]] and [[16576/16575]]
* [[1665/1664]] and [[13312/13311]]
* [[1702/1701]] and [[11340/11339]]
* [[2109/2108]] and [[4960/4959]]
* [[2176/2175]] and [[4625/4624]]
* [[2500/2499]] and [[3626/3625]]
* [[2553/2552]] and [[3520/3519]]
* [[2640/2639]] and [[3367/3366]]

== Temperaments ==
Tempering out this comma in the full 37-limit leads to the 11-rank temperament '''aunusismic'''. Using the 2.3.5.17.29.37 subgroup leads to the rank-5 temperament '''aunusic'''.

=== Aunusismic ===

[[Subgroup]]: 2.3.5.7.11.13.17.19.23.29.31.37

[[Comma list]]: 1480/1479

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

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.994, ~5/4 = 386.230, ~7/4 = 968.826, ~11/8 = 551.318, ~13/8 = 840.528, ~17/16 = 105.215, ~19/16 = 297.513, ~23/16 = 628.274, ~29/16 = 1029.944, ~31/16 = 1145.036

=== Aunusic ===

[[Subgroup]]: 2.3.5.17.29.37

[[Comma list]]: 1480/1479

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

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.994, ~5/4 = 386.230, ~17/16 = 105.215, ~29/16 = 1029.944

{{Optimal ET sequence|legend=1| 5g, 5gjl, 7g, 10j, 12l, 19gl, 19, 22, 34, 46j, 60l, 65, 84l, 99, 106, 159, 171, 205, 388, 559, 764j, 1277, 1482 }}

== Etymology ==
This comma was named by [[Francium]] in 2024. It refers to {{W|1480 Aunus}}, the asteroid, which in turn was named after the Karelian town {{W|Olonets}} (Finnish: Aunus).

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

[[Category:Commas named after asteroids]]

1480/1479 - Revision history

FloraC: FloraC moved page Aunusisma to 1480/1479 over redirect: 8-digit ratios are okay as page titles

Francium: Created page with "{{Infobox Interval | Ratio = 1480/1479 | Name = aunusisma | Color name = 37o29u17uy1 thisotwenusuyo unison | Comma = yes }} '''1480/1479''', the '''aunusisma''', is a ..."

Francium: Created page with "{{Infobox Interval | Ratio = 1480/1479 | Name = aunusisma | Color name = 37o29u17uy1
thisotwenusuyo unison | Comma = yes }} '''1480/1479''', the '''aunusisma''', is a ..."