Fredg999: Text replacement - "{{Infobox ET}}" to "{{Infobox ET|debug=1}}"

2026-07-16T06:30:13Z

Text replacement - "{{Infobox ET}}" to "{{Infobox ET|debug=1}}"

← Older revision		Revision as of 06:30, 16 July 2026
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Francium: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 3919edo is only consistent to the 3-limit and its harmonic 3 is about halfway its steps. It is a strong 2.9.15.7.13.23 subgroup tuning, tempering out 76545/76544, 287500/287469, 66560000/66548223, 2951690625/2951578112 and 743115202375/743008370688. === Odd harmonics === {{Harmonics in equal|3919}} === Subsets and supersets === 3919edo is the 543rd prime edo. 7838edo, which doubles it, gives..."

2025-10-03T20:29:23Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 3919edo is only consistent to the 3-limit and its harmonic 3 is about halfway its steps. It is a strong 2.9.15.7.13.23 subgroup tuning, tempering out 76545/76544, 287500/287469, 66560000/66548223, 2951690625/2951578112 and 743115202375/743008370688. === Odd harmonics === {{Harmonics in equal|3919}} === Subsets and supersets === 3919edo is the 543rd prime edo. 7838edo, which doubles it, gives..."

New page

{{Infobox ET}}
{{ED intro}}

== Theory ==
3919edo is only [[consistent]] to the [[3-limit]] and its [[harmonic]] [[3/1|3]] is about halfway its steps. It is a strong 2.9.15.7.13.23 [[subgroup]] tuning, [[tempering out]] 76545/76544, 287500/287469, 66560000/66548223, 2951690625/2951578112 and 743115202375/743008370688.

=== Odd harmonics ===
{{Harmonics in equal|3919}}

=== Subsets and supersets ===
3919edo is the 543rd [[prime edo]]. [[7838edo]], which doubles it, gives a good correction to its harmonic 3.

== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
! rowspan="2" |[[Subgroup]]
! rowspan="2" |[[Comma list|Comma List]]
! rowspan="2" |[[Mapping]]
! rowspan="2" |Optimal<br>8ve Stretch (¢)
! colspan="2" |Tuning Error
|-
![[TE error|Absolute]] (¢)
![[TE simple badness|Relative]] (%)
|-
| 2.9
| {{monzo|12423 -3919}}
| {{mapping|3919 12423}}
| −0.0031
| 0.0031
| 1.01
|-
| 2.9.5
| {{monzo|146 -38 -11}}, {{monzo|105 35 -93}}
| {{mapping|3919 12423 9100}}
| −0.0181
| 0.0213
| 6.96
|-
| 2.9.5.7
| 4398046511104/4395357421875, 96889010407/96855122250, 40041913260899432169/40000000000000000000
| {{mapping|3919 12423 9100 11002}}
| −0.0129
| 0.0205
| 6.69
|}

User:Francium/3919edo - Revision history

Fredg999: Text replacement - "{{Infobox ET}}" to "{{Infobox ET|debug=1}}"