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m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"
 
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|1289}}
{{ED intro}}


== Theory ==
== Theory ==
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== Regular temperament properties ==
== Regular temperament properties ==
{{comma basis begin}}
{| class="wikitable center-4 center-5 center-6"
|-
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br />8ve stretch (¢)
! colspan="2" | Tuning error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
|-
| 2.3
| 2.3
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| {{monzo|-16 35 -17}}, {{monzo|91 -12 -31}}
| {{monzo|-16 35 -17}}, {{monzo|91 -12 -31}}
| {{mapping|1289 2043 2993}}
| {{mapping|1289 2043 2993}}
| &minus;0.0014
| −0.0014
| 0.0097
| 0.0097
| 1.04
| 1.04
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| 2460375/2458624, 78125000/78121827, 12884901888/12867859375
| 2460375/2458624, 78125000/78121827, 12884901888/12867859375
| {{mapping|1289 2043 2993 3619}}
| {{mapping|1289 2043 2993 3619}}
| &minus;0.0275
| −0.0275
| 0.0461
| 0.0461
| 4.95
| 4.95
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| 3025/3024, 180224/180075, 2460375/2458624, 50014503/50000000
| 3025/3024, 180224/180075, 2460375/2458624, 50014503/50000000
| {{mapping|1289 2043 2993 3619 4459}}
| {{mapping|1289 2043 2993 3619 4459}}
| &minus;0.0109
| −0.0109
| 0.0530
| 0.0530
| 5.69
| 5.69
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| 3025/3024, 1716/1715, 4096/4095, 91125/91091, 5282739/5281250
| 3025/3024, 1716/1715, 4096/4095, 91125/91091, 5282739/5281250
| {{mapping|1289 2043 2993 3619 4459 4770}}
| {{mapping|1289 2043 2993 3619 4459 4770}}
| &minus;0.0146
| −0.0146
| 0.0491
| 0.0491
| 5.27
| 5.27
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| 3025/3024, 1716/1715, 4096/4095, 2500/2499, 37180/37179, 3536379/3536000
| 3025/3024, 1716/1715, 4096/4095, 2500/2499, 37180/37179, 3536379/3536000
| {{mapping|1289 2043 2993 3619 4459 4770 5269}}
| {{mapping|1289 2043 2993 3619 4459 4770 5269}}
| &minus;0.0210
| −0.0210
| 0.0481
| 0.0481
| 5.17
| 5.17
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| 3025/3024, 1716/1715, 2376/2375, 4096/4095, 2500/2499, 270864/270725, 75735/75712
| 3025/3024, 1716/1715, 2376/2375, 4096/4095, 2500/2499, 270864/270725, 75735/75712
| {{mapping|1289 2043 2993 3619 4459 4770 5269 5476}}
| {{mapping|1289 2043 2993 3619 4459 4770 5269 5476}}
| &minus;0.0299
| −0.0299
| 0.0508
| 0.0508
| 5.46
| 5.46
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=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{{rank-2 begin}}
{| class="wikitable center-all left-5"
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
! Periods<br />per 8ve
! Generator*
! Cents*
! Associated<br />ratio*
! Temperaments
|-
|-
| 1
| 1
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| 8388608/7381125
| 8388608/7381125
| [[Fortune]]
| [[Fortune]]
{{rank-2 end}}
|}
{{orf}}
<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]]
* "Baking With Honey" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/4MS4KuEo2jocbD1F968mBE Spotify] | [https://francium223.bandcamp.com/track/baking-with-honey Bandcamp] | [https://www.youtube.com/watch?v=mh0-dZt9NI8 YouTube] – in Honeybrookic, 1289edo tuning
* "Those Peas, With That Hat?" from ''Questions, Vol. 2'' (2025) – [https://open.spotify.com/track/3huEuNHvcAeKM6smXRSALR Spotify] | [https://francium223.bandcamp.com/track/those-peas-with-that-hat Bandcamp] | [https://www.youtube.com/watch?v=6us1wSQjn7w YouTube]
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