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== Theory ==
== Theory ==
39edo's [[3/2|perfect fifth]] is 5.8{{c}} sharp. Together with its best [[5/4|classical major third]] which is the familiar 400{{c}} of [[12edo]]. We have two choices for a tuning of [[7/1|7]]. The sharp one yields [[superpyth]] temperament, while the flat (patent) one yields [[semaphore]] (and also [[hemifamity]]) temperament.
39edo's [[3/2|perfect fifth]] is 5.8 cents sharp, together with its best [[5/4|classical major third]] which is the familiar 400 cents of [[12edo]]. We have two choices for a tuning of [[7/1|7]], but the sharp one blends better with the sharp 3 and 5 as their errors cancel with their ratios, thus yielding significantly higher average accuracy than the [[patent val]] in the [[7-odd-limit|7-]] and [[9-odd-limit]]. It also has a fine [[11/1|11]], and adding it to consideration the best choice for 39et is the sharp-tending 39df val {{val| 39 62 91 '''110''' 135 '''145''' }}.  


As a [[superpyth]] system, 39edo is intermediate between [[17edo]] and [[22edo]] {{nowrap|(39 {{=}} 17 + 22)}}; its fifth thus falls in the "shrub region" where the diatonic thirds are between standard neogothic thirds and septimal thirds. The specific 7-limit variant supported by 39d is [[quasisuper]]. Alternatively, it can be seen as a [[hemifamity]] semaphore (that is, immunity) system in the patent val. While 17edo is superb for melody (as documented by [[George Secor]]), it does not approximate the 5th harmonic at all and only poorly approximates the 7th. 22edo is much better for 5-limit and 7-limit harmony but is less effective for melody assuming that the MOS diatonic is used, because the [[diatonic semitone]] is [[quartertone]]-sized. 39edo offers a compromise, since it still supports good 5- and 7-limit harmonies (though less close than 22edo), while at the same time having a diatonic semitone of 61.5 cents, as the ideal diatonic semitone for melody is somewhere in between 60 and 80 cents, i.e. a third tone, by Secor's estimates.
As a [[superpyth]] system, 39edo is intermediate between [[17edo]] and [[22edo]] {{nowrap|(39 {{=}} 17 + 22)}}; its fifth thus falls in the "shrub region" where the diatonic thirds are between standard neogothic thirds and septimal thirds. The specific 7-limit variant supported by 39d is [[quasisuper]]. While 17edo is superb for melody (as documented by [[George Secor]]), it does not approximate the 5th harmonic at all and only poorly approximates the 7th. 22edo is much better for 5-limit and 7-limit harmony but is less effective for melody assuming that the MOS diatonic is used, because the [[diatonic semitone]] is [[quartertone]]-sized. 39edo offers a compromise, since it still supports good 5- and 7-limit harmonies (though less close than 22edo), while at the same time having a diatonic semitone of 61.5 cents, as the ideal diatonic semitone for melody is somewhere in between 60 and 80 cents, i.e. a third tone, by Secor's estimates.  
 
Alternatively, if we take 22\39 as a fifth, 39edo can be used as a tuning of [[mavila]], and from that point of view it seems to have attracted the attention of the [[Armodue]] school, an Italian group that use the scheme of [[7L 2s|superdiatonic]] LLLsLLLLs like a base scale for notation and theory, suited in [[16edo]], and allied systems: [[25edo]] [1/3-tone 3;2]; [[41edo]] [1/5-tone 5;3]; and [[57edo]] [1/7-tone 7;4]. The [[hornbostel]] temperament is included too with: [[23edo]] [1/3-tone 3;1]; 39edo [1/5-tone 5;2] & [[62edo]] [1/8-tone 8;3]. The mavila fifth in 39edo like all mavila fifths is very, very flat, in this case, 25{{c}} flat.
 
39edo offers not one, but many, possible ways of extending tonality beyond the diatonic scale, even if it does not do as good of a job at approximating [[JI]] as some other systems do. Because it can also approximate [[mavila]] as well as "anti-mavila" ([[oneirotonic]]), the latter of which it inherits from [[13edo]], this makes 39edo an extremely versatile temperament usable in a wide range of situations (both harmonic and inharmonic).


=== Odd harmonics ===
=== Odd harmonics ===
Line 16: Line 12:


=== As a tuning of other temperaments ===
=== As a tuning of other temperaments ===
39edo, with its 400{{c}} major third, [[tempering out|tempers out]] the [[diesis]] (128/125), and using the 39d val, the septimal comma, [[64/63]], as well as [[126/125]] are added to the comma list. Alternatively, the patent val tempers out 49/48 to yield semaphore. In the 11-limit we find that the equal temperament tempers out [[99/98]] and [[121/120]]. Tempering out both 128/125 and 64/63 makes 39et, in some few ways, allied to [[12edo|12et]] in [[support]]ing [[augene]], and is in fact, an excellent choice for a 7-limit augene tuning. It also tempers out the [[amity comma]] (1600000/1594323), and supports the variant of amity known as [[accord]].  
39edo, with its 400{{c}} major third, [[tempering out|tempers out]] the [[128/125|diesis]] (128/125), and using the 39d val, the septimal comma, [[64/63]], as well as [[126/125]] are added to the comma list. In the 11-limit we find that the equal temperament tempers out [[99/98]] and [[121/120]]. Tempering out both 128/125 and 64/63 makes 39et, in some few ways, allied to [[12edo|12et]] in [[support]]ing [[augene]], and is in fact, an excellent choice for a 7-limit augene tuning. It also tempers out the [[amity comma]] (1600000/1594323), and supports the variant of amity known as [[accord]].
 
Alternatively, the patent val tempers out [[49/48]] to yield [[semaphore]], and provides a reasonable tuning of [[triforce]] beyond [[15edo]], and optimizes both its semaphore and augmented components by tuning the fifth sharp. The 39c val supports [[negri]] and 5-limit [[Syntonic–chromatic_equivalence_continuum#Sixix_(5-limit)|sixix]].
 
If we take 22\39 as a fifth, 39edo can be used as a tuning of [[mavila]] through the 39bc val, and from that point of view it seems to have attracted the attention of the [[Armodue]] school, an Italian group that use the scheme of [[7L 2s|superdiatonic]] LLLsLLLLs like a base scale for notation and theory, suited in [[16edo]] and allied systems: [[25edo]] [1/3-tone 3;2]; [[41edo]] [1/5-tone 5;3]; and [[57edo]] [1/7-tone 7;4]. The [[hornbostel]] temperament is included too with: [[23edo]] [1/3-tone 3;1]; 39edo [1/5-tone 5;2] & [[62edo]] [1/8-tone 8;3]. The mavila fifth in 39edo like all mavila fifths is very, very flat, in this case, 25{{c}} flat.
 
39edo offers not one, but many, possible ways of extending tonality beyond the diatonic scale, even if it does not do as good of a job at approximating [[JI]] as some other systems do. Because it can also approximate mavila as well as "anti-mavila" ([[oneirotonic]]), the latter of which it inherits from [[13edo]], this makes 39edo an extremely versatile temperament usable in a wide range of situations (both harmonic and inharmonic).


=== Subsets and supersets ===
=== Subsets and supersets ===
Line 22: Line 24:


== Intervals ==
== Intervals ==
{| class="wikitable center-all right-2 left-3 left-4 left-5 right-9 right-10"
As 39edo is a rare case where a non-patent val does significantly better than the patent val, we provide two tables, for those who look for the most accurate temperament available and for those who would like to explore the potential utilities in this edo.
 
{| class="wikitable center-1 right-2"
|+ Table of intervals, 39df val
|-
! #
! Cents
! Approximate ratios*
|-
| 0
| 0.0
| [[1/1]]
|-
| 1
| 30.8
| ''[[36/35]]'', [[50/49]], [[55/54]], [[56/55]], [[81/80]]
|-
| 2
| 61.5
| ''[[22/21]]'', [[28/27]], [[33/32]], ''[[49/48]]''
|-
| 3
| 92.3
| ''[[16/15]]'', [[21/20]], ''[[25/24]]''
|-
| 4
| 123.1
| [[14/13]], [[15/14]]
|-
| 5
| 153.8
| [[11/10]], [[12/11]], [[13/12]]
|-
| 6
| 184.6
| [[10/9]]
|-
| 7
| 215.4
| [[9/8]], ''[[8/7]]''
|-
| 8
| 246.2
| [[15/13]]
|-
| 9
| 276.9
| [[7/6]]
|-
| 10
| 307.7
| [[6/5]]
|-
| 11
| 338.5
| [[11/9]], ''[[16/13]]''
|-
| 12
| 369.2
| [[26/21]], [[27/22]]
|-
| 13
| 400.0
| [[5/4]]
|-
| 14
| 430.8
| [[9/7]], [[14/11]]
|-
|-
! rowspan="2" | Steps
| 15
| 461.5
| [[13/10]]
|-
| 16
| 492.3
| [[4/3]]
|-
| 17
| 523.1
| [[27/20]]
|-
| 18
| 553.8
| [[11/8]], [[18/13]], ''[[15/11]]''
|-
| 19
| 584.6
| [[7/5]]
|-
| 20
| 615.4
| [[10/7]]
|-
| 21
| 646.2
| [[13/9]], [[16/11]], ''[[22/15]]''
|-
| 22
| 676.9
| [[40/27]]
|-
| 23
| 707.7
| [[3/2]]
|-
| 24
| 738.5
| [[20/13]]
|-
| 25
| 769.2
| [[11/7]], [[14/9]]
|-
| 26
| 800.0
| [[8/5]]
|-
| 27
| 830.8
| [[21/13]], [[44/27]]
|-
| 28
| 861.5
| [[18/11]], ''[[13/8]]''
|-
| 29
| 892.3
| [[5/3]]
|-
| 30
| 923.1
| [[12/7]]
|-
| 31
| 953.8
| [[26/15]]
|-
| 32
| 984.6
| [[16/9]], ''[[7/4]]''
|-
| 33
| 1015.4
| [[9/5]]
|-
| 34
| 1046.2
| [[11/6]], [[20/11]], [[24/13]]
|-
| 35
| 1076.9
| [[13/7]], [[28/15]]
|-
| 36
| 1107.7
| ''[[15/8]]'', [[40/21]], ''[[48/25]]''
|-
| 37
| 1138.5
| ''[[21/11]]'', [[27/14]], [[64/33]], ''[[96/49]]''
|-
| 38
| 1169.2
| ''[[35/18]]'', [[49/25]], [[108/55]], [[160/81]]
|-
| 39
| 1200.0
| [[2/1]]
|}
<nowiki/>* As a 13-limit temperament
 
{| class="wikitable center-1 right-2"
|+ Table of intervals, various vals
|-
! rowspan="2" | #
! rowspan="2" | Cents
! rowspan="2" | Cents
! rowspan="2" | Ratios of the<br>[[2.3.5.11 subgroup]]
! rowspan="2" | Ratios of the<br>[[2.3.11 subgroup]]
! colspan="2" | Intervals of 7
! colspan="3" | Intervals of 5 and 7
! colspan="3" rowspan="2" | [[Ups and downs notation]]
|-
|-
! Patent val
! 39c val
! 39 val
! 39d val
! 39d val
|-
|-
| 0
| 0
| 0.0
| 0.0
| colspan=3 | [[1/1]]
| [[1/1]]
|
|
|
|-
| 1
| 30.8
|
| ''[[28/27]]'', [[50/49]], [[64/63]]
| ''[[28/27]]'', [[64/63]], [[81/80]]
| ''[[36/35]]'', [[50/49]], [[81/80]]
|-
| 2
| 61.5
| [[33/32]], ''[[256/243]]''
|
| ''[[21/20]]'', [[36/35]]
| ''[[22/21]]'', [[28/27]], ''[[49/48]]''
|-
| 3
| 92.3
|
| [[21/20]], [[22/21]], ''[[36/35]]''
| ''[[16/15]]'', [[22/21]], ''[[25/24]]''
| ''[[16/15]]'', [[21/20]], ''[[25/24]]''
|-
| 4
| 123.1
|
| [[15/14]], [[16/15]]
|
| [[15/14]]
|-
| 5
| 153.8
| [[12/11]]
| ''[[10/9]]''
| [[11/10]], ''[[15/14]]''
| [[11/10]]
|-
| 6
| 184.6
|
| ''[[11/10]]''
| [[10/9]]
| [[10/9]]
|-
| 7
| 215.4
| [[9/8]]
|
|
| ''[[8/7]]''
|-
| 8
| 246.2
|
| ''[[7/6]]'', [[8/7]]
| ''[[7/6]]'', [[8/7]]
| [[81/70]]
|-
| 9
| 276.9
| ''[[32/27]]''
|
|
| [[7/6]]
|-
| 10
| 307.7
|
|
| [[6/5]]
| [[6/5]]
|-
| 11
| 338.5
| [[11/9]]
| ''[[6/5]]''
|
|
|-
| 12
| 369.2
| [[27/22]]
| ''[[5/4]]''
|
|
|-
| 13
| 400.0
|
| ''[[14/11]]''
| [[5/4]], ''[[14/11]]''
| [[5/4]]
|-
| 14
| 430.8
| ''[[81/64]]''
|
| ''[[35/27]]''
| [[9/7]], [[14/11]]
|-
| 15
| 461.5
|
| ''[[9/7]]'', [[21/16]]
| ''[[9/7]]'', [[21/16]]
| [[35/27]]
|-
| 16
| 492.3
| [[4/3]]
|
|
|
|-
| 17
| 523.1
|
| [[15/11]]
| [[27/20]]
| [[27/20]]
|-
| 18
| 553.8
| [[11/8]]
| ''[[27/20]]''
| ''[[7/5]]'', ''[[15/11]]''
| ''[[15/11]]''
|-
| 19
| 584.6
|
| [[7/5]]
|
| [[7/5]]
|-
| 20
| 615.4
|
| [[10/7]]
|
| [[10/7]]
|-
| 21
| 646.2
| [[16/11]]
| ''[[40/27]]''
| ''[[10/7]]'', ''[[22/15]]''
| ''[[22/15]]''
|-
| 22
| 676.9
|
| [[22/15]]
| [[40/27]]
| [[40/27]]
|-
| 23
| 707.7
| [[3/2]]
|
|
|
|-
| 24
| 738.5
|
| ''[[14/9]]'', [[32/21]]
| ''[[14/9]]'', [[32/21]]
| [[54/35]]
|-
| 25
| 769.2
| ''[[128/81]]''
|
| ''[[54/35]]''
| [[11/7]], [[14/9]]
|-
| 26
| 800.0
|
| ''[[11/7]]''
| [[8/5]], ''[[11/7]]''
| [[8/5]]
|-
| 27
| 830.8
| [[44/27]]
| ''[[8/5]]''
|
|
|-
| 28
| 861.5
| [[18/11]]
| ''[[5/3]]''
|
|
|-
| 29
| 892.3
|
|
| [[5/3]]
| [[5/3]]
|-
| 30
| 923.1
| ''[[27/16]]''
|
|
| [[12/7]]
|-
| 31
| 953.8
|
| [[7/4]], ''[[12/7]]''
| [[7/4]], ''[[12/7]]''
| [[140/81]]
|-
| 32
| 984.6
| [[16/9]]
|
|
| ''[[7/4]]''
|-
| 33
| 1015.4
|
| ''[[20/11]]''
| [[9/5]]
| [[9/5]]
|-
| 34
| 1046.2
| [[11/6]]
| ''[[9/5]]''
| [[20/11]], ''[[28/15]]''
| [[20/11]]
|-
| 35
| 1076.9
|
| [[15/8]], [[28/15]]
|
| [[28/15]]
|-
| 36
| 1107.7
|
| [[21/11]], ''[[35/18]]'', [[40/21]]
| ''[[15/8]]'', [[21/11]], ''[[48/25]]''
| ''[[15/8]]'', [[40/21]], ''[[48/25]]''
|-
| 37
| 1138.5
| [[64/33]], ''[[243/128]]''
|
| [[35/18]], ''[[40/21]]''
| [[27/14]], ''[[96/49]]''
|-
| 38
| 1169.2
|
| ''[[27/14]]'', [[49/25]], [[63/32]]
| ''[[27/14]]'', [[63/32]], [[160/81]]
| ''[[35/18]]'', [[49/25]], [[160/81]]
|-
| 39
| 1200.0
| [[2/1]]
|
|
|
|}
 
=== Proposed interval names and solfèges ===
{| class="wikitable mw-collapsible mw-collapsed center-1 right-2 center-3 center-5"
|+ style="white-space: nowrap;" | Table of proposed interval names and solfèges
|-
! #
! Cents
! colspan="3" | [[Ups and downs notation]]
|-
| 0
| 0.0
| P1
| P1
| perfect unison
| perfect unison
Line 42: Line 504:
| 1
| 1
| 30.8
| 30.8
| [[55/54]], [[81/80]]
| ''[[28/27]]'', [[64/63]]
| ''[[36/35]]'', [[50/49]], ''[[56/55]]''
| ^1, <br>vm2
| ^1, <br>vm2
| up unison, <br>downminor 2nd
| up unison, <br>downminor 2nd
Line 51: Line 510:
| 2
| 2
| 61.5
| 61.5
| [[33/32]]
| ''[[21/20]]'', [[36/35]]
| [[28/27]], ''[[49/48]]''
| m2
| m2
| minor 2nd
| minor 2nd
Line 60: Line 516:
| 3
| 3
| 92.3
| 92.3
| ''[[16/15]]'', ''[[25/24]]''
| ''[[50/49]]''
| [[21/20]]
| ^m2
| ^m2
| upminor 2nd
| upminor 2nd
Line 69: Line 522:
| 4
| 4
| 123.1
| 123.1
|
|
| [[15/14]]
| ^^m2
| ^^m2
| dupminor 2nd
| dupminor 2nd
Line 78: Line 528:
| 5
| 5
| 153.8
| 153.8
| [[11/10]], [[12/11]]
| ''[[15/14]]''
|
| vvM2
| vvM2
| dudmajor 2nd
| dudmajor 2nd
Line 87: Line 534:
| 6
| 6
| 184.6
| 184.6
| [[10/9]]
|
|
| vM2
| vM2
| downmajor 2nd
| downmajor 2nd
Line 96: Line 540:
| 7
| 7
| 215.4
| 215.4
| [[9/8]]
|
| ''[[8/7]]''
| M2
| M2
| major 2nd
| major 2nd
Line 105: Line 546:
| 8
| 8
| 246.2
| 246.2
|
| [[8/7]], ''[[7/6]]''
| [[81/70]]
| ^M2, <br>vm3
| ^M2, <br>vm3
| upmajor 2nd, <br>downminor 3rd
| upmajor 2nd, <br>downminor 3rd
Line 114: Line 552:
| 9
| 9
| 276.9
| 276.9
|
| ''[[81/70]]''
| [[7/6]]
| m3
| m3
| minor 3rd
| minor 3rd
Line 123: Line 558:
| 10
| 10
| 307.7
| 307.7
| [[6/5]]
|
|
| ^m3
| ^m3
| upminor 3rd
| upminor 3rd
Line 132: Line 564:
| 11
| 11
| 338.5
| 338.5
| [[11/9]]
|
|
| ^^m3
| ^^m3
| dupminor 3rd
| dupminor 3rd
Line 141: Line 570:
| 12
| 12
| 369.2
| 369.2
| [[27/22]]
|
|
| vvM3
| vvM3
| dudmajor 3rd
| dudmajor 3rd
Line 150: Line 576:
| 13
| 13
| 400.0
| 400.0
| [[5/4]]
| ''[[14/11]]''
|
| vM3
| vM3
| downmajor 3rd
| downmajor 3rd
Line 159: Line 582:
| 14
| 14
| 430.8
| 430.8
|
| ''[[35/27]]''
| [[9/7]], [[14/11]]
| M3
| M3
| major 3rd
| major 3rd
Line 168: Line 588:
| 15
| 15
| 461.5
| 461.5
|
| ''[[9/7]]''
| [[35/27]]
| v4
| v4
| down 4th
| down 4th
Line 177: Line 594:
| 16
| 16
| 492.3
| 492.3
| [[4/3]]
|
|
| P4
| P4
| perfect 4th
| perfect 4th
Line 186: Line 600:
| 17
| 17
| 523.1
| 523.1
| [[27/20]]
|
|
| ^4
| ^4
| up 4th
| up 4th
Line 195: Line 606:
| 18
| 18
| 553.8
| 553.8
| [[11/8]]
| ''[[7/5]]''
|
| ^^4
| ^^4
| dup 4th
| dup 4th
Line 204: Line 612:
| 19
| 19
| 584.6
| 584.6
|
|
| [[7/5]]
| vvA4, <br>^d5
| vvA4, <br>^d5
| dudaug 4th, <br>updim 5th
| dudaug 4th, <br>updim 5th
Line 213: Line 618:
| 20
| 20
| 615.4
| 615.4
|
|
| [[10/7]]
| vA4, <br>^^d5
| vA4, <br>^^d5
| downaug 4th, <br>dupdim 5th
| downaug 4th, <br>dupdim 5th
Line 222: Line 624:
| 21
| 21
| 646.2
| 646.2
| [[16/11]]
| ''[[10/7]]''
|
| vv5
| vv5
| dud 5th
| dud 5th
Line 231: Line 630:
| 22
| 22
| 676.9
| 676.9
| [[40/27]]
|
|
| v5
| v5
| down 5th
| down 5th
Line 240: Line 636:
| 23
| 23
| 707.7
| 707.7
| [[3/2]]
|
|
| P5
| P5
| perfect 5th
| perfect 5th
Line 249: Line 642:
| 24
| 24
| 738.5
| 738.5
|
| ''[[14/9]]''
| [[54/35]]
| ^5
| ^5
| up 5th
| up 5th
Line 258: Line 648:
| 25
| 25
| 769.2
| 769.2
|
| ''[[54/35]]''
| [[11/7]], [[14/9]]
| m6
| m6
| minor 6th
| minor 6th
Line 267: Line 654:
| 26
| 26
| 800.0
| 800.0
| [[8/5]]
| ''[[11/7]]''
|
| ^m6
| ^m6
| upminor 6th
| upminor 6th
Line 276: Line 660:
| 27
| 27
| 830.8
| 830.8
| [[44/27]]
|
|
| ^^m6
| ^^m6
| dupminor 6th
| dupminor 6th
Line 285: Line 666:
| 28
| 28
| 861.5
| 861.5
| [[18/11]]
|
|
| vvM6
| vvM6
| dudmajor 6th
| dudmajor 6th
Line 294: Line 672:
| 29
| 29
| 892.3
| 892.3
| [[5/3]]
|
|
| vM6
| vM6
| downmajor 6th
| downmajor 6th
Line 303: Line 678:
| 30
| 30
| 923.1
| 923.1
|
| ''[[140/81]]''
| [[12/7]]
| M6
| M6
| major 6th
| major 6th
Line 312: Line 684:
| 31
| 31
| 953.8
| 953.8
|
| [[7/4]], ''[[12/7]]''
| [[140/81]]
| ^M6, <br>vm7
| ^M6, <br>vm7
| upmajor 6th, <br>downminor 7th
| upmajor 6th, <br>downminor 7th
Line 321: Line 690:
| 32
| 32
| 984.6
| 984.6
| [[16/9]]
|
| ''[[7/4]]''
| m7
| m7
| minor 7th
| minor 7th
Line 330: Line 696:
| 33
| 33
| 1015.4
| 1015.4
| [[9/5]]
|
|
| ^m7
| ^m7
| upminor 7th
| upminor 7th
Line 339: Line 702:
| 34
| 34
| 1046.2
| 1046.2
| [[11/6]], [[20/11]]
| ''[[28/15]]''
|
| ^^m7
| ^^m7
| dupminor 7th
| dupminor 7th
Line 348: Line 708:
| 35
| 35
| 1076.9
| 1076.9
|
|
| [[28/15]]
| vvM7
| vvM7
| dudmajor 7th
| dudmajor 7th
Line 357: Line 714:
| 36
| 36
| 1107.7
| 1107.7
| ''[[15/8]]'', ''[[48/25]]''
| ''[[49/25]]''
| [[40/21]]
| vM7
| vM7
| downmajor 7th
| downmajor 7th
Line 366: Line 720:
| 37
| 37
| 1138.5
| 1138.5
| [[64/33]]
| [[35/18]], ''[[40/21]]''
| [[27/14]], ''[[96/49]]''
| M7
| M7
| major 7th
| major 7th
Line 375: Line 726:
| 38
| 38
| 1169.2
| 1169.2
| [[108/55]], [[160/81]]
| [[63/32]], ''[[27/14]]''
| ''[[35/18]]'', [[49/25]]
| ^M7, <br>v8
| ^M7, <br>v8
| upmajor 7th, <br>down 8ve
| upmajor 7th, <br>down 8ve
Line 384: Line 732:
| 39
| 39
| 1200.0
| 1200.0
| colspan=3 | [[2/1]]
| P8
| P8
| perfect 8ve
| perfect 8ve
| D
| D
|}
|}
<nowiki/>* 11-limit in the 39d val, inconsistent intervals in ''italic''


Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See [[Ups and downs notation #Chords and chord progressions]].
Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See [[Kite's ups and downs notation #Chords and chord progressions]].


== Notation ==
== Notation ==
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