3079edo: Difference between revisions

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== Theory ==

3079edo is [[consistent]] to the [[9-odd-limit]]. ~~The~~ equal temperament [[tempering out|tempers out]] [[43046721/43025920]], 1220703125/1219784832 and {{monzo|51 -13 -1 -10}} in the 7-limit~~. It~~ [[support]]s [[~~acrosextilififths~~]].

3079edo is [[consistent]] to the [[9-odd-limit]]. As an equal temperament, it [[tempering out|tempers out]] [[43046721/43025920]], 1220703125/1219784832 and {{monzo| 51 -13 -1 -10 }} in the 7-limit, [[support]]ing [[acrosextilifourths]].

=== Prime 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" | [[Comma list]]

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

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

! rowspan="2" | Optimal 8ve stretch (¢)

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

! colspan="2" | Tuning error

|-

! [[TE error|Absolute]] (¢)

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

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| {{monzo|-4880 3079}}

| {{mapping|3079 4880}}

| 0.0122

| +0.0122

| 0.0122

| 3.13

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| {{monzo| -69 45 -1 }}, {{monzo| -50 -71 70 }}

| {{mapping| 3079 4880 7149 }}

| 0.0203

| +0.0203

| 0.0151

| 3.87

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| 43046721/43025920, 1220703125/1219784832, {{monzo| 51 -13 -1 -10 }}

| {{mapping| 3079 4880 7149 8644 }}

| 0.0099

| +0.0099

| 0.0223

| 5.72

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=== Rank-2 temperaments ===

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

|+Table of rank-2 temperaments by generator

|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator

! Periods per 8ve

|-

! Periods per 8ve

! Generator*

! Cents*

! Associated ~~Ratio~~*

! Associated ratio*

! Temperaments

|-

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| [[Counterschismic]]

|}

<nowiki>*~~</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]]

* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] | [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] | [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] ~~– acrosextilififths~~[13] in 3079edo tuning

* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] | [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] | [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – acrosextilifourths[13] in 3079edo tuning

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|3079}}
+{{ED intro}}
 == Theory ==
-edo is [[consistent]] to the [[9-odd-limit]]. The equal temperament [[tempering out|tempers out]] [[43046721/43025920]], 1220703125/1219784832 and {{monzo|51 -13 -1 -10}} in the 7-limit. It [[support]]s [[acrosextilififths]].
+edo is [[consistent]] to the [[9-odd-limit]]. As an equal temperament, it [[tempering out|tempers out]] [[43046721/43025920]], 1220703125/1219784832 and {{monzo| 51 -13 -1 -10 }} in the 7-limit, [[support]]ing [[acrosextilifourths]].
 === Prime 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" | [[Comma list]]
 ! rowspan="2" | [[Mapping]]
-! rowspan="2" | Optimal<br>8ve Stretch (¢)
+! rowspan="2" | Optimal<br />8ve stretch (¢)
-! colspan="2" | Tuning Error
+! colspan="2" | Tuning error
 |-
 ! [[TE error|Absolute]] (¢)
 ! [[TE simple badness|Relative]] (%)
@@ Line 25: / Line 26: @@
 | {{monzo|-4880 3079}}
 | {{mapping|3079 4880}}
-| 0.0122
+| +0.0122
 | 0.0122
 | 3.13
@@ Line 32: / Line 33: @@
 | {{monzo| -69 45 -1 }}, {{monzo| -50 -71 70 }}
 | {{mapping| 3079 4880 7149 }}
-| 0.0203
+| +0.0203
 | 0.0151
 | 3.87
@@ Line 39: / Line 40: @@
 | 43046721/43025920, 1220703125/1219784832, {{monzo| 51 -13 -1 -10 }}
 | {{mapping| 3079 4880 7149 8644 }}
-| 0.0099
+| +0.0099
 | 0.0223
 | 5.72
@@ Line 46: / Line 47: @@
 === Rank-2 temperaments ===
 {| class="wikitable center-all left-5"
-|+Table of rank-2 temperaments by generator
+|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
-! Periods<br>per 8ve
+|-
+! Periods<br />per 8ve
 ! Generator*
 ! Cents*
-! Associated<br>Ratio*
+! Associated<br />ratio*
 ! Temperaments
 |-
@@ Line 59: / Line 61: @@
 | [[Counterschismic]]
 |}
-<nowiki>*</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]]
-* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] | [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] | [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – acrosextilififths[13] in 3079edo tuning
+* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) &ndash; [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] | [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] | [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] &ndash; acrosextilifourths[13] in 3079edo tuning