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607edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|607}}
{{ED intro}}


== Theory ==
== Theory ==
607edo is [[consistent]] to the [[9-odd-limit]]. Using the [[patent val]], the equal temperament [[tempering out|tempers out]] [[32805/32768]], [[420175/419904]] and 244140625/243045684 in the 7-limit; [[3025/3024]], [[6250/6237]], 32805/32768 and 420175/419904 in the 11-limit. It [[support]]s [[countertertiaschis]]. [[Essentially tempered chords]] available in 607et include [[baladismic chords]] and [[xenismic chords]].
607edo is [[consistent]] to the [[9-odd-limit]]. Using the [[patent val]], the equal temperament [[tempering out|tempers out]] [[32805/32768]], [[420175/419904]] and 244140625/243045684 in the 7-limit; [[3025/3024]], [[6250/6237]], 32805/32768 and 420175/419904 in the 11-limit. It [[support]]s [[countertertiaschis]]. [[Essentially tempered chord]]s available in 607et include [[baladismic chords]] and [[xenismic chords]].


=== Prime harmonics ===
=== Prime harmonics ===
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=== Subsets and supersets ===
=== Subsets and supersets ===
607edo is the 111th [[prime EDO]].
607edo is the 111th [[prime EDO]].
== Intervals ==
{{Main|Table of 607edo intervals}}


== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{| 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
| 2.3
| {{monzo|-962 607}}
| {{monzo|-962 607}}
| {{mapping|607 962}}
| {{mapping|607 962}}
| 0.0451
| +0.0451
| 0.0451
| 0.0451
| 2.28
| 2.28
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| 32805/32768, {{monzo|-58 -63 68}}
| 32805/32768, {{monzo|-58 -63 68}}
| {{mapping|607 962 1409}}
| {{mapping|607 962 1409}}
| 0.1465
| +0.1465
| 0.1481
| 0.1481
| 7.49
| 7.49
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| 32805/32768, 420175/419904, 244140625/243045684
| 32805/32768, 420175/419904, 244140625/243045684
| {{mapping|607 962 1409 1704}}
| {{mapping|607 962 1409 1704}}
| 0.1212
| +0.1212
| 0.1355
| 0.1355
| 6.85
| 6.85
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| 3025/3024, 6250/6237, 32805/32768, 420175/419904
| 3025/3024, 6250/6237, 32805/32768, 420175/419904
| {{mapping|607 962 1409 1704 2100}}
| {{mapping|607 962 1409 1704 2100}}
| 0.0827
| +0.0827
| 0.1437
| 0.1437
| 7.27
| 7.27
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| 2080/2079, 625/624, 3025/3024, 78975/78848, 218700/218491
| 2080/2079, 625/624, 3025/3024, 78975/78848, 218700/218491
| {{mapping|607 962 1409 1704 2100 2246}}
| {{mapping|607 962 1409 1704 2100 2246}}
| 0.0838
| +0.0838
| 0.1312
| 0.1312
| 6.64
| 6.64
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| 2080/2079, 625/624, 1225/1224, 3025/3024, 78975/78848, 5832/5831
| 2080/2079, 625/624, 1225/1224, 3025/3024, 78975/78848, 5832/5831
| {{mapping|607 962 1409 1704 2100 2246 2481}}
| {{mapping|607 962 1409 1704 2100 2246 2481}}
| 0.0780
| +0.0780
| 0.1222
| 0.1222
| 6.18
| 6.18
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=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{| 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*
! Generator*
! Cents*
! Cents*
! Associated<br>Ratio*
! Associated<br />ratio*
! Temperaments
! Temperaments
|-
|-
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| 498.188
| 498.188
| 4/3
| 4/3
| [[Helmholtz]]
| [[Helmholtz (temperament)|Helmholtz]]
|}
|}
<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct
== Music ==
; [[Francium]]
* "Complete Edition" from ''You Are A...'' (2024) – [https://open.spotify.com/track/3U1YP47z0bmKZ76DzXEDTG Spotify] | [https://francium223.bandcamp.com/track/complete-edition Bandcamp] | [https://www.youtube.com/watch?v=PTpp4HPi98A YouTube] – in Countertertiaschis[15], 607edo tuning
* "TAKE THE NIGHT WITH YOU" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/3xjT48PIa0OjNL7yTBWwVF Spotify] | [https://francium223.bandcamp.com/track/take-the-night-with-you Bandcamp] | [https://www.youtube.com/watch?v=5fzzB753wfM YouTube]
* "Sweep Away" from ''Take Advantage'' (2024) – [https://open.spotify.com/track/3W9U6apb2cfKHtUXsmILDE Spotify] | [https://francium223.bandcamp.com/track/sweep-away Bandcamp] | [https://www.youtube.com/watch?v=5Q-aQnStoaA YouTube]
* "In the Field of Vodka" from ''Scoop'' (2024) – [https://open.spotify.com/track/79JeaYC5nBpz4fG6pPgkEe Spotify] | [https://francium223.bandcamp.com/track/in-the-field-of-vodka Bandcamp] | [https://www.youtube.com/watch?v=j_tkNX986sU YouTube]
* "The Cereal Egg" from ''Eggs'' (2025) – [https://open.spotify.com/track/7rO4vqdT05EV324fiXGPXI Spotify] | [https://francium223.bandcamp.com/track/the-cereal-egg Bandcamp] | [https://www.youtube.com/watch?v=-mkzaimrst4 YouTube]


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