Francium: /* Regular temperament properties */ +music

2026-08-23T11:55:22Z

Regular temperament properties: +music

← Older revision		Revision as of 11:55, 23 August 2026
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			== Music ==
			; [[Francium]]
			* "the last time they truly felt fear." from ''with our kindness.'' (2026) – [https://francium223.bandcamp.com/track/the-last-time-they-truly-felt-fear Bandcamp] \| [https://www.youtube.com/watch?v=1Dnu94u0HDI YouTube] – in Eternal Revolutionary, 7247edo tuning

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

2026-07-16T06:30:16Z

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 == 7247edo is consistent to the 7-limit, due to its harmonic 11 being halfway between its steps. It is strong in the 2.3.5.7.13.17.31 subgroup, tempering out 5832/5831, 10881/10880, 903168/903125, 17577/17576, 5688387/5687500 and 24810913575/24806539264. It supports eternal revolutionary in the 2.5.11.13 subgroup. === Prime harmonics === {{Harmonics in equal|7247}} === Subsets and supersets..."

2026-07-09T18:14:02Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 7247edo is consistent to the 7-limit, due to its harmonic 11 being halfway between its steps. It is strong in the 2.3.5.7.13.17.31 subgroup, tempering out 5832/5831, 10881/10880, 903168/903125, 17577/17576, 5688387/5687500 and 24810913575/24806539264. It supports eternal revolutionary in the 2.5.11.13 subgroup. === Prime harmonics === {{Harmonics in equal|7247}} === Subsets and supersets..."

New page

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

== Theory ==
7247edo is [[consistent]] to the [[7-limit]], due to its [[harmonic]] [[11/1|11]] being halfway between its steps. It is strong in the 2.3.5.7.13.17.31 [[subgroup]], [[tempering out]] [[5832/5831]], 10881/10880, 903168/903125, [[17577/17576]], 5688387/5687500 and 24810913575/24806539264. It supports [[eternal revolutionary]] in the 2.5.11.13 subgroup.

=== Prime harmonics ===
{{Harmonics in equal|7247}}

=== Subsets and supersets ===
7247edo is the 927th [[prime edo]]. [[21741edo]], which triples it, gives a good correction to its harmonic 11.

== 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]] (%)
|-
| 2.3
| {{monzo|-11486 7247}}
| {{mapping|7247 11486}}
| 0.0117
| 0.0117
| 7.07
|-
| 2.3.5
| {{monzo|-69 45 -1}}, {{monzo|170 133 -164}}
| {{mapping|7247 11486 16827}}
| 0.0081
| 0.0108
| 6.52
|-
| 2.3.5.7
| 184528125/184473632, {{monzo|44 6 -17 -5}}, {{monzo|-20 41 -23 3}}
| {{mapping|7247 11486 16827 20345}}
| 0.0046
| 0.0111
| 6.70
|}

User:Francium/7247edo - Revision history

Francium: /* Regular temperament properties */ +music

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