2207edo: Difference between revisions

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== Theory ==

2207edo is only [[consistent]] to the [[5-odd-limit]], and its [[harmonic]] [[5/1|5]] is about halfway between its steps. It is strong in the 2.3.11.17.31 [[subgroup]]. Using the 2.3.7.11.17.37 subgroup, it ~~[[tempering out|~~tempers out]] [[3774/3773]].

2207edo is only [[consistent]] to the [[5-odd-limit]], and its [[harmonic]] [[5/1|5]] is about halfway between its steps. It is strong in the 2.3.11.17.31 [[subgroup]], [[tempering out]] 1114112/1114047, 133159451283/133143986176, 214374114/214358881 and 748268928/748264639. Using the 2.3.7.11.17.37 subgroup, it tempers out [[3774/3773]].

=== Odd harmonics ===

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== Regular temperament properties ==

{| class="wikitable center-4 center-5 center-6"

! rowspan="2" |[[Subgroup]]

|-

! rowspan="2" |[[Comma list~~|Comma List~~]]

! rowspan="2" | [[Subgroup]]

! rowspan="2" |[[Mapping]]

! rowspan="2" | [[Comma list]]

! rowspan="2" |Optimal<br>8ve ~~Stretch~~ (¢)

! rowspan="2" | [[Mapping]]

! colspan="2" |Tuning ~~Error~~

! rowspan="2" | Optimal<br />8ve stretch (¢)

|-

! colspan="2" | Tuning error

![[TE error|Absolute]] (¢)

|-

![[TE simple badness|Relative]] (%)

! [[TE error|Absolute]] (¢)

! [[TE simple badness|Relative]] (%)

|-

| 2.3

| {{monzo|-3498 2207}}

| {{mapping|2207 3498}}

| 0.0021

| +0.0021

| 0.0021

| 0.39

|}

== Music ==

; [[Francium]]

* "I'm Such a "Look at the Moon" Person." from ''Random Sentences'' (2025) – [https://open.spotify.com/track/47wcdZHMpT846xQD5Csnu9 Spotify] | [https://francium223.bandcamp.com/track/im-such-a-look-at-the-moon-person Bandcamp] | [https://www.youtube.com/watch?v=1j-w-De3uOo YouTube]

* "200$ PLEASE" from ''Things to Scream at People'' (2025) – [https://open.spotify.com/track/42KFfiRRhCkF9pmV45AoEC Spotify] | [https://francium223.bandcamp.com/track/200-please Bandcamp] | [https://www.youtube.com/watch?v=vxdXAxbsgE4 YouTube]

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|2207}}
+{{ED intro}}
 == Theory ==
-edo is only [[consistent]] to the [[5-odd-limit]], and its [[harmonic]] [[5/1|5]] is about halfway between its steps. It is strong in the 2.3.11.17.31 [[subgroup]]. Using the 2.3.7.11.17.37 subgroup, it [[tempering out|tempers out]] [[3774/3773]].
+edo is only [[consistent]] to the [[5-odd-limit]], and its [[harmonic]] [[5/1|5]] is about halfway between its steps. It is strong in the 2.3.11.17.31 [[subgroup]], [[tempering out]] 1114112/1114047, 133159451283/133143986176, 214374114/214358881 and 748268928/748264639. Using the 2.3.7.11.17.37 subgroup, it tempers out [[3774/3773]].
 === Odd harmonics ===
@@ Line 13: / Line 13: @@
 == Regular temperament properties ==
 {| class="wikitable center-4 center-5 center-6"
-! rowspan="2" |[[Subgroup]]
+|-
-! rowspan="2" |[[Comma list|Comma List]]
+! rowspan="2" | [[Subgroup]]
-! rowspan="2" |[[Mapping]]
+! rowspan="2" | [[Comma list]]
-! rowspan="2" |Optimal<br>8ve Stretch (¢)
+! rowspan="2" | [[Mapping]]
-! colspan="2" |Tuning Error
+! rowspan="2" | Optimal<br />8ve stretch (¢)
-|-
+! colspan="2" | Tuning error
-![[TE error|Absolute]] (¢)
+|-
-![[TE simple badness|Relative]] (%)
+! [[TE error|Absolute]] (¢)
+! [[TE simple badness|Relative]] (%)
 |-
 | 2.3
 | {{monzo|-3498 2207}}
 | {{mapping|2207 3498}}
-| 0.0021
+| +0.0021
 | 0.0021
 | 0.39
 |}
+== Music ==
+; [[Francium]]
+* "I'm Such a "Look at the Moon" Person." from ''Random Sentences'' (2025) – [https://open.spotify.com/track/47wcdZHMpT846xQD5Csnu9 Spotify] | [https://francium223.bandcamp.com/track/im-such-a-look-at-the-moon-person Bandcamp] | [https://www.youtube.com/watch?v=1j-w-De3uOo YouTube]
+* "200$ PLEASE" from ''Things to Scream at People'' (2025) – [https://open.spotify.com/track/42KFfiRRhCkF9pmV45AoEC Spotify] | [https://francium223.bandcamp.com/track/200-please Bandcamp] | [https://www.youtube.com/watch?v=vxdXAxbsgE4 YouTube]