61edt: Difference between revisions

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61edt provides a good tuning of [[mintaka]] temperament in the 3.7.11 subgroup, and contains an intersection of it with [[~~Bohlen-Pierce-Stearns~~]], despite the 5th harmonic ~~being rather far from accurate~~. Notably, the octave is almost halfway in between steps, and therefore this system minimizes the prospect of a shimmering octave appearing, although it has a good ~~4th~~ harmonic.

61edt provides a good tuning of [[mintaka]] temperament in the 3.7.11 subgroup, and contains an intersection of it with [[Bohlen–Pierce–Stearns]], despite lacking an accurate approximation to the 5th harmonic. Notably, the octave is almost halfway in between steps, and therefore this system minimizes the prospect of a shimmering octave appearing, although it has a good fourth harmonic.

== Intervals ==

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== Harmonics ==

{{Harmonics in equal

| ~~steps =~~ 61

{{Harmonics in equal|61|3|1|start = 12|collapsed = 1|intervals = odd}}

| ~~num =~~ 3

| ~~denom =~~ 1

== Music ==

| intervals = ~~integer~~

; [[Francium]]

}}

* "Ideal Spiritual Enrichment Cat Toys" from ''Microtonal Six-Dimensional Cats'' (2025) – [https://open.spotify.com/track/4yGmTekIUn1Ealke6PDJwG Spotify] | [https://francium223.bandcamp.com/track/ideal-spiritual-enrichment-cat-toys Bandcamp] | [https://www.youtube.com/watch?v=0MyIKlXRVS0 YouTube]

{{Harmonics in equal

| ~~steps =~~ 61

| ~~num =~~ 3

| ~~denom =~~ 1

| start = 12

| collapsed = 1

| intervals = ~~integer~~

}}

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 {{ED intro}}
-edt provides a good tuning of [[mintaka]] temperament in the 3.7.11 subgroup, and contains an intersection of it with [[Bohlen-Pierce-Stearns]], despite the 5th harmonic being rather far from accurate. Notably, the octave is almost halfway in between steps, and therefore this system minimizes the prospect of a shimmering octave appearing, although it has a good 4th harmonic.
+edt provides a good tuning of [[mintaka]] temperament in the 3.7.11 subgroup, and contains an intersection of it with [[Bohlen–Pierce–Stearns]], despite lacking an accurate approximation to the 5th harmonic. Notably, the octave is almost halfway in between steps, and therefore this system minimizes the prospect of a shimmering octave appearing, although it has a good fourth harmonic.
 == Intervals ==
@@ Line 8: / Line 8: @@
 == Harmonics ==
-{{Harmonics in equal
+{{Harmonics in equal|61|3|1|intervals = prime|columns = 9}}
-| steps = 61
+{{Harmonics in equal|61|3|1|start = 12|collapsed = 1|intervals = odd}}
-| num = 3
-| denom = 1
+== Music ==
-| intervals = integer
+; [[Francium]]
-}}
+* "Ideal Spiritual Enrichment Cat Toys" from ''Microtonal Six-Dimensional Cats'' (2025) – [https://open.spotify.com/track/4yGmTekIUn1Ealke6PDJwG Spotify] | [https://francium223.bandcamp.com/track/ideal-spiritual-enrichment-cat-toys Bandcamp] | [https://www.youtube.com/watch?v=0MyIKlXRVS0 YouTube]
-{{Harmonics in equal
-| steps = 61
-| num = 3
-| denom = 1
-| start = 12
-| collapsed = 1
-| intervals = integer
-}}
 {{Stub}}