349edo: Difference between revisions

Line 3:

== Theory ==

349edo is only [[consistent]] to the [[5-odd-limit]]. Omitting the [[harmonic]] [[7/1|7]], it is consistent to the [[13-odd-limit]] with a flat tendency. In the 2.3.5.11.13 [[subgroup]], the equal temperament [[tempering out|tempers out]] [[625/624]], 17303/17280, 28561/28512, 41067/40960, 43940/43923, 85293/85184, 131625/131072 and 166375/165888.

349edo is only [[consistent]] to the [[5-odd-limit]]. Omitting the [[harmonic]] [[7/1|7]], it is consistent to the [[13-odd-limit]] with a flat tendency. In the 2.3.5.11.13 [[subgroup]], the equal temperament [[tempering out|tempers out]] [[625/624]], 17303/17280, 28561/28512, 41067/40960, 43940/43923, 85293/85184, 131625/131072, and 166375/165888.

=== Odd harmonics ===

Line 26:

| {{monzo| -553 349 }}

| {{mapping| 349 553 }}

| 0.1648

| +0.1648

| 0.1648

| 4.79

Line 33:

| 2109375/2097152, {{monzo| -31 43 -16 }}

| {{mapping| 349 553 810 }}

| 0.2841

| +0.2841

| 0.2158

| 6.28

Line 40:

| 166375/165888, 1366875/1362944, 1953125/1948617

| {{mapping| 349 553 810 1207 }}

| 0.2980

| +0.2980

| 0.1884

| 5.48

Line 47:

| 625/624, 17303/17280, 41067/40960, 216513/216320

| {{mapping| 349 553 810 1207 1291 }}

| 0.3227

| +0.3227

| 0.1756

| 5.11

Line 68:

| [[Orson]]

|}

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

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

== Music ==

; [[Francium]]

* "chill futuristic lounge" from ''End Of Sartorius Membranes'' (2024) ~~–~~ [https://open.spotify.com/track/3p2RNlmQieZA2fh3ZwQzVw Spotify] | [https://francium223.bandcamp.com/track/chill-futuristic-lounge Bandcamp] | [https://www.youtube.com/watch?v=B_P7zp5Zmio YouTube]

* "chill futuristic lounge" from ''End Of Sartorius Membranes'' (2024) – [https://open.spotify.com/track/3p2RNlmQieZA2fh3ZwQzVw Spotify] | [https://francium223.bandcamp.com/track/chill-futuristic-lounge Bandcamp] | [https://www.youtube.com/watch?v=B_P7zp5Zmio YouTube]

[[Category:Listen]]

@@ Line 3: / Line 3: @@
 == Theory ==
-edo is only [[consistent]] to the [[5-odd-limit]]. Omitting the [[harmonic]] [[7/1|7]], it is consistent to the [[13-odd-limit]] with a flat tendency. In the 2.3.5.11.13 [[subgroup]], the equal temperament [[tempering out|tempers out]] [[625/624]], 17303/17280, 28561/28512, 41067/40960, 43940/43923, 85293/85184, 131625/131072 and 166375/165888.
+edo is only [[consistent]] to the [[5-odd-limit]]. Omitting the [[harmonic]] [[7/1|7]], it is consistent to the [[13-odd-limit]] with a flat tendency. In the 2.3.5.11.13 [[subgroup]], the equal temperament [[tempering out|tempers out]] [[625/624]], 17303/17280, 28561/28512, 41067/40960, 43940/43923, 85293/85184, 131625/131072, and 166375/165888.
 === Odd harmonics ===
@@ Line 26: / Line 26: @@
 | {{monzo| -553 349 }}
 | {{mapping| 349 553 }}
-| 0.1648
+| +0.1648
 | 0.1648
 | 4.79
@@ Line 33: / Line 33: @@
 | 2109375/2097152, {{monzo| -31 43 -16 }}
 | {{mapping| 349 553 810 }}
-| 0.2841
+| +0.2841
 | 0.2158
 | 6.28
@@ Line 40: / Line 40: @@
 | 166375/165888, 1366875/1362944, 1953125/1948617
 | {{mapping| 349 553 810 1207 }}
-| 0.2980
+| +0.2980
 | 0.1884
 | 5.48
@@ Line 47: / Line 47: @@
 | 625/624, 17303/17280, 41067/40960, 216513/216320
 | {{mapping| 349 553 810 1207 1291 }}
-| 0.3227
+| +0.3227
 | 0.1756
 | 5.11
@@ Line 68: / Line 68: @@
 | [[Orson]]
 |}
-<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
+<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
 == Music ==
 ; [[Francium]]
-* "chill futuristic lounge" from ''End Of Sartorius Membranes'' (2024) &ndash; [https://open.spotify.com/track/3p2RNlmQieZA2fh3ZwQzVw Spotify] | [https://francium223.bandcamp.com/track/chill-futuristic-lounge Bandcamp] | [https://www.youtube.com/watch?v=B_P7zp5Zmio YouTube]
+* "chill futuristic lounge" from ''End Of Sartorius Membranes'' (2024) – [https://open.spotify.com/track/3p2RNlmQieZA2fh3ZwQzVw Spotify] | [https://francium223.bandcamp.com/track/chill-futuristic-lounge Bandcamp] | [https://www.youtube.com/watch?v=B_P7zp5Zmio YouTube]
 [[Category:Listen]]