337edo: Difference between revisions

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== Theory ==

337edo is [[consistent]] to the [[9-odd-limit]], but the error of [[harmonic]] [[5/1|5]] is quite large. If the harmonic is used at all, it tends very flat. The equal temperament [[tempering out|tempers out]] [[16875/16807]], 420175/419904, and 5250987/5242880 in the 7-limit. It [[support]]s ~~the~~ [[~~kleirtismic~~]] ~~temperament~~.

337edo is [[consistent]] to the [[9-odd-limit]], but the error of [[harmonic]] [[5/1|5]] is quite large. If the harmonic is used at all, it tends very flat. The equal temperament [[tempering out|tempers out]] [[16875/16807]], [[420175/419904]], and 5250987/5242880 in the 7-limit. It [[support]]s [[tokko]] and [[sqrtphi]].

=== Odd harmonics ===

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| 8.10

|}

=== Rank-2 temperaments ===

{| class="wikitable center-all left-5"

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| 6/5

| [[Hanson]]

|-

| 1

| 117\337

| 416.62

| 14/11

| [[Sqrtphi]] (337, 11-limit)

|}

<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct

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== Music ==

; [[Francium]]

* "The End Of A Good Day" from ''Mysteries'' (2023) [https://open.spotify.com/track/1yaSXn4u2TVWClwXBtMVs4 Spotify] | [https://francium223.bandcamp.com/track/the-end-of-a-good-day Bandcamp] | [https://www.youtube.com/watch?v=2ixL8YQmJig YouTube]

* "The End Of A Good Day" from ''Mysteries'' (2023) – [https://open.spotify.com/track/1yaSXn4u2TVWClwXBtMVs4 Spotify] | [https://francium223.bandcamp.com/track/the-end-of-a-good-day Bandcamp] | [https://www.youtube.com/watch?v=2ixL8YQmJig YouTube]

@@ Line 3: / Line 3: @@
 == Theory ==
-edo is [[consistent]] to the [[9-odd-limit]], but the error of [[harmonic]] [[5/1|5]] is quite large. If the harmonic is used at all, it tends very flat. The equal temperament [[tempering out|tempers out]] [[16875/16807]], 420175/419904, and 5250987/5242880 in the 7-limit. It [[support]]s the [[kleirtismic]] temperament.
+edo is [[consistent]] to the [[9-odd-limit]], but the error of [[harmonic]] [[5/1|5]] is quite large. If the harmonic is used at all, it tends very flat. The equal temperament [[tempering out|tempers out]] [[16875/16807]], [[420175/419904]], and 5250987/5242880 in the 7-limit. It [[support]]s [[tokko]] and [[sqrtphi]].
 === Odd harmonics ===
@@ Line 43: / Line 43: @@
 | 8.10
 |}
 === Rank-2 temperaments ===
 {| class="wikitable center-all left-5"
@@ Line 63: / Line 64: @@
 | 6/5
 | [[Hanson]]
+|-
+| 1
+| 117\337
+| 416.62
+| 14/11
+| [[Sqrtphi]] (337, 11-limit)
 |}
 <nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
@@ Line 68: / Line 75: @@
 == Music ==
 ; [[Francium]]
-* "The End Of A Good Day" from ''Mysteries'' (2023) [https://open.spotify.com/track/1yaSXn4u2TVWClwXBtMVs4 Spotify] | [https://francium223.bandcamp.com/track/the-end-of-a-good-day Bandcamp] | [https://www.youtube.com/watch?v=2ixL8YQmJig YouTube]
+* "The End Of A Good Day" from ''Mysteries'' (2023) – [https://open.spotify.com/track/1yaSXn4u2TVWClwXBtMVs4 Spotify] | [https://francium223.bandcamp.com/track/the-end-of-a-good-day Bandcamp] | [https://www.youtube.com/watch?v=2ixL8YQmJig YouTube]