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+table of rank-2 temperaments
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80et provides the [[optimal patent val]] for 5-limit [[diaschismic]], for 13-limit [[srutal]], and for 7-, 11- and 13-limit [[bidia]]. It is a good tuning for various temperaments in [[canou family]], especially in higher limits.  
80et provides the [[optimal patent val]] for 5-limit [[diaschismic]], for 13-limit [[srutal]], and for 7-, 11- and 13-limit [[bidia]]. It is a good tuning for various temperaments in [[canou family]], especially in higher limits.  
80et supports a profusion of 19-limit (and lower) rank two temperaments which have mostly not been explored. We might mention:
31&80 <<7 6 15 27 -24 -23 -20 ... ||
72&80 <<24 30 40 24 32 24 0 ... ||
34&80 <<2 -4 -50 22 16 2 -40 ... ||
46&80 <<2 -4 30 22 16 2 40 ... ||
29&80 <<3 34 45 33 24 -37 20 ... ||
12&80 <<4 -8 -20 -36 32 4 0 ... ||
22&80 <<6 -10 12 -14 -32 6 -40 ... ||
58&80 <<6 -10 12 -14 -32 6 40 ... ||
41&80 <<7 26 25 -3 -24 -33 20 ... ||
In each case, the numbers joined by an ampersand represent 19-limit [[patent val]]s (meaning obtained by rounding to the nearest integer) and the first and most important part of the wedgie is given.


== Intervals ==
== Intervals ==
Line 249: Line 227:
| +36.2
| +36.2
| -33.6
| -33.6
|}
== Rank-2 temperaments ==
80et supports a profusion of 19-limit (and lower) rank two temperaments which have mostly not been explored. We might mention:
31&80 <<7 6 15 27 -24 -23 -20 ... ||
72&80 <<24 30 40 24 32 24 0 ... ||
34&80 <<2 -4 -50 22 16 2 -40 ... ||
46&80 <<2 -4 30 22 16 2 40 ... ||
29&80 <<3 34 45 33 24 -37 20 ... ||
12&80 <<4 -8 -20 -36 32 4 0 ... ||
22&80 <<6 -10 12 -14 -32 6 -40 ... ||
58&80 <<6 -10 12 -14 -32 6 40 ... ||
41&80 <<7 26 25 -3 -24 -33 20 ... ||
In each case, the numbers joined by an ampersand represent 19-limit [[patent val]]s (meaning obtained by rounding to the nearest integer) and the first and most important part of the wedgie is given.
{| class="wikitable center-all left-5"
|+Rank-2 temperaments by generator
! Periods<br>per Octave
! Generator<br>(Reduced)
! Cents<br>(Reduced)
! Associated Ratio<br>(Reduced)
! Temperament
|-
| 1
| 1\80
| 15
| 121/120
| [[Yarman]]
|-
| 1
| 3\80
| 45
| 36/35~40/39
| [[Quartonic]]
|-
| 1
| 9\80
| 135
| 27/25
| [[Superlimmal]]
|-
| 1
| 21\80
| 315
| 6/5
| [[Parakleismic]] / parkleismic / paradigmic
|-
| 1
| 29\80
| 435
| 9/7
| [[Supermajor]]
|-
| 1
| 31\80
| 465
| 17/13
| [[Semisept]]
|-
| 1
| 39\80
| 585
| 7/5
| [[Pluto]]
|-
| 2
| 21\80<br>(19\80)
| 315<br>(285)
| 6/5<br>(33/28)
| [[Semiparakleismic]]
|-
| 2
| 29\80<br>(11\80)
| 435<br>(165)
| 9/7<br>(11/10)
| [[Echidna]]
|-
| 2
| 47\80<br>(7\80)
| 705<br>(105)
| 3/2<br>(17/16)
| [[Srutal]]
|-
| 4
| 47\80<br>(7\80)
| 705<br>(105)
| 3/2<br>(17/16)
| [[Bidia]]
|-
| 5
| 5\80
| 75
| 25/24
| [[Trisedodge]]
|-
| 5
| 61\80<br>(1\80)
| 975<br>(15)
| 7/4<br>(64/63)
| [[Pentorwell]]
|-
| 8
| 39\80<br>(1\80)
| 585<br>(15)
| 7/5<br>(99/98~100/99)
| [[Octoid]] / octopus
|-
| 10
| 21\80<br>(3\80)
| 315<br>(45)
| 6/5<br>(40/39)
| [[Deca]]
|-
| 20
| 47\80<br>(1\80)
| 705<br>(15)
| 3/2<br>(99/98~100/99)
| [[Degrees]]
|}
|}


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