Francium: +music

2025-11-12T13:33:53Z

+music

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			== Music ==
			; [[Francium]]
			* "grew on trees like grapes" from ''have nice day'' (2025) – [https://open.spotify.com/track/6IzjifBWVr4eyCT12dgUj8 Spotify] \| [https://francium223.bandcamp.com/track/grew-on-trees-like-grapes Bandcamp] \| [https://www.youtube.com/watch?v=68hBDftJ0PY YouTube] – in Grendel, 1303edo tuning

Francium: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 1303edo is consistent to the 9-odd-limit, tempering out 4375/4374, 32805/32768 and {{monzo|24 4 22 -29}} in the 7-limit, although its harmonic 5 is about halfway its steps. It is strong in the 2.7.17.19.29 subgroup, tempering out 69632/69629, 4857616/4857223, 849301957/849127424 and 197726038040074256384/197694657826980042227. === Odd harmonics === {{Harmonics in equal|1303}} === Subsets..."

2025-09-30T09:53:12Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 1303edo is consistent to the 9-odd-limit, tempering out 4375/4374, 32805/32768 and {{monzo|24 4 22 -29}} in the 7-limit, although its harmonic 5 is about halfway its steps. It is strong in the 2.7.17.19.29 subgroup, tempering out 69632/69629, 4857616/4857223, 849301957/849127424 and 197726038040074256384/197694657826980042227. === Odd harmonics === {{Harmonics in equal|1303}} === Subsets..."

New page

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

== Theory ==
1303edo is [[consistent]] to the [[9-odd-limit]], [[tempering out]] [[4375/4374]], [[32805/32768]] and {{monzo|24 4 22 -29}} in the [[7-limit]], although its [[harmonic]] [[5/1|5]] is about halfway its steps. It is strong in the 2.7.17.19.29 [[subgroup]], tempering out 69632/69629, 4857616/4857223, 849301957/849127424 and 197726038040074256384/197694657826980042227.

=== Odd harmonics ===
{{Harmonics in equal|1303}}

=== Subsets and supersets ===
1303edo is the 213th [[prime edo]]. [[2606edo]], which doubles it, gives a good correction to its harmonics 5 and [[11/1|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|-2065 1303}}
| {{mapping|1303 2065}}
| 0.0599
| 0.0599
| 6.50
|-
| 2.3.5
| 32805/32768, {{monzo|-110 -143 145}}
| {{mapping|1303 2065 3025}}
| 0.1024
| 0.0775
| 8.42
|-
| 2.3.5.7
| 4375/4374, 32805/32768, {{monzo|24 4 22 -29}}
| {{mapping|1303 2065 3025 3658}}
| 0.0754
| 0.0817
| 8.87
|}

User:Francium/1303edo - Revision history

Francium: +music