Francium: /* See also */ changed category

2025-03-21T15:58:59Z

Francium: Created page with "{{Infobox Interval | Ratio = 3256/3255 | Name = daguerrisma | Color name = 37o31u1org2
thisothiwulorugu 2nd | Comma = yes }} '''3256/3255''', the '''daguerrisma''', is a..."

2025-02-11T21:19:35Z

Created page with "{{Infobox Interval | Ratio = 3256/3255 | Name = daguerrisma | Color name = 37o31u1org2 <br> thisothiwulorugu 2nd | Comma = yes }} '''3256/3255''', the '''daguerrisma''', is a..."

New page

{{Infobox Interval
| Ratio = 3256/3255
| Name = daguerrisma
| Color name = 37o31u1org2 <br> thisothiwulorugu 2nd
| Comma = yes
}}

'''3256/3255''', the '''daguerrisma''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 0.53 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[148/147]] and [[155/154]]
* [[176/175]] and [[186/185]]
* [[407/406]] and [[465/464]]
* [[666/665]] and [[837/836]]
* [[962/961]] and [[1365/1364]]
* [[1210/1209]] and [[1925/1924]]
* [[1036/1035]] and [[1519/1518]]
* [[1184/1183]] and [[1860/1859]]

It can be factored into the following superparticular intervals:
* [[3367/3366]] and [[98736/98735]]
* [[3520/3519]] and [[43401/43400]]
* [[3626/3625]] and [[31900/31899]]
* [[3774/3773]] and [[23716/23715]]
* [[3876/3875]] and [[20350/20349]]
* [[4096/4095]] and [[15873/15872]]
* [[4186/4185]] and [[14652/14651]]
* [[4992/4991]] and [[9361/9360]]
* [[5104/5103]] and [[8991/8990]]
* [[5291/5290]] and [[8464/8463]]
* [[5643/5642]] and [[7696/7695]]

== Temperaments ==
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''daguerrismic'''. Using the 2.3.5.7.11.31.37 subgroup leads to the rank-6 temperament '''daguerric'''.

=== Daguerric ===

[[Subgroup]]: 2.3.5.7.11.31.37

[[Comma list]]: 3256/3255

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

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.972, ~5/4 = 386.350, ~7/4 = 968.879, ~11/8 = 551.238, ~31/16 = 1145.200

{{Optimal ET sequence|legend=1| 5e, 6l, 7dkll, 7k, 8dll, 9kl, 10ek, 10, 12l, 12k, 15, 19ekkl, 19e, 22, 27e, 31k, 41l, 46, 58kl, 72kll, 72, 87, 99ek, 103l, 121kl, 125, 130, 152, 212, 224, 270, 301, 311, 342l, 400, 525, 612, 1164, 1376, 1776, 2000k, 2612k }}

[[Badness]] (Sintel): 0.126

== Etymology ==
This comma was named by [[Francium]] in 2025. It refers to {{W|3256 Daguerre}}, the asteroid, which in turn was named after {{W|Louis Daguerre}}, a French chemist, artist and pioneer of photography.

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

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

← Older revision		Revision as of 15:58, 21 March 2025
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	[[Category:Commas named after asteroids]]		[[Category:Commas named after asteroids]]
	[[Category:Commas named after ~~individuals~~]]		[[Category:Commas named after other creatives]]

3256/3255 - Revision history

Francium: /* See also */ changed category

Francium: Created page with "{{Infobox Interval | Ratio = 3256/3255 | Name = daguerrisma | Color name = 37o31u1org2 thisothiwulorugu 2nd | Comma = yes }} '''3256/3255''', the '''daguerrisma''', is a..."

Francium: Created page with "{{Infobox Interval | Ratio = 3256/3255 | Name = daguerrisma | Color name = 37o31u1org2
thisothiwulorugu 2nd | Comma = yes }} '''3256/3255''', the '''daguerrisma''', is a..."