Francium: Created page with "{{Infobox Interval | Ratio = 3146/3145 | Name = datonisma | Color name = 37u17u3o1oog-2
thisusutholologu negative 2nd | Comma = yes }} '''3146/3145''', the '''datonisma''', is a 37-limit superparticular comma of about 0.55 cents. == Commatic relationships == This comma is the difference between the following superparticular pairs: * 715/714 and 925/924 * 936/935 and 1332/1331 * 1089/1088 and 1665/1664 *..."

2025-04-05T18:11:57Z

Created page with "{{Infobox Interval | Ratio = 3146/3145 | Name = datonisma | Color name = 37u17u3o1oog-2 <br> thisusutholologu negative 2nd | Comma = yes }} '''3146/3145''', the '''datonisma''', is a 37-limit superparticular comma of about 0.55 cents. == Commatic relationships == This comma is the difference between the following superparticular pairs: * 715/714 and 925/924 * 936/935 and 1332/1331 * 1089/1088 and 1665/1664 *..."

New page

{{Infobox Interval
| Ratio = 3146/3145
| Name = datonisma
| Color name = 37u17u3o1oog-2 <br> thisusutholologu negative 2nd
| Comma = yes
}}

'''3146/3145''', the '''datonisma''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 0.55 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[715/714]] and [[925/924]]
* [[936/935]] and [[1332/1331]]
* [[1089/1088]] and [[1665/1664]]
* [[1276/1275]] and [[2146/2145]]

It can be factored into the following superparticular ratios:
* [[3220/3219]] and [[136851/136850]]
* [[3256/3255]] and [[93093/93092]]
* [[3367/3366]] and [[47916/47915]]
* [[3520/3519]] and [[29601/29600]]
* [[3553/3552]] and [[27456/27455]]
* [[3627/3626]] and [[23716/23715]]
* [[3751/3750]] and [[19500/19499]]

== Temperaments ==
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''datonismic'''. Using the 2.5.11.13.17.37 subgroup leads to the rank-5 temperament '''datonic'''.

=== Datonic ===

[[Subgroup]]: 2.5.11.13.17.37

[[Comma list]]: 3146/3145

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

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~5/4 = 386.340, ~11/8 = 551.199, ~13/8 = 840.460, ~17/16 = 105.038

{{Optimal ET sequence|legend=1| 5egl, 6, 7, 8cefgl, 8, 12, 12fg, 13, 16, 21l, 28g, 34l, 35f, 37, 43, 56, 59, 80, 81, 87, 96, 100, 103l, 108g, 116, 124, 196, 261, 320, 444, 764, 1025, 1041, 1165, 1485, 1826l, 1842, 1966, 2286, 2867, 2991l }}

[[Badness]] (Sintel): 0.039

== Etymology ==
This comma was named by [[Francium]] in 2025. It refers to {{W|3146 Dato}}, the asteroid, which in turn was named after Dato Kratsashvili, a Georgian painter.

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

[[Category:Commas named after asteroids]]
[[Category:Commas named after other creatives]]

3146/3145 - Revision history