Syntonic–chromatic equivalence continuum: Difference between revisions

Review tunings and optimal ET sequences
+commas for fractional-numbered temps
Line 25: Line 25:
| [[Nadir]]
| [[Nadir]]
| [[1162261467/1048576000]]
| [[1162261467/1048576000]]
| {{monzo| -23 19 -3}}
| {{monzo| -23 19 -3 }}
|-
|-
| -4
| -4
Line 31: Line 31:
| Nethertone
| Nethertone
| [[14348907/13107200]]
| [[14348907/13107200]]
| {{monzo| -19 15 -2}}
| {{monzo| -19 15 -2 }}
|-
|-
| -3
| -3
Line 37: Line 37:
| Deeptone a.k.a. tragicomical
| Deeptone a.k.a. tragicomical
| [[177147/163840]]
| [[177147/163840]]
| {{monzo| -15 11 -1}}
| {{monzo| -15 11 -1 }}
|-
|-
| -2
| -2
Line 150: Line 150:
|+ Temperaments with fractional ''n'' and ''m''
|+ Temperaments with fractional ''n'' and ''m''
|-
|-
! Temperament !! ''n'' !! ''m''
! ''n'' !! ''m'' !! Temperament !! Comma
|-
|-
| [[Seville]] || 7/3 = 2.{{overline|3}} || 7/4 = 1.75
| 7/3 = 2.{{overline|3}} || 7/4 = 1.75 || [[Seville]] || {{monzo| -5 -7 7 }}
|-
|-
| [[Sixix]] || 5/2 = 2.5 || 5/3 = 1.{{overline|6}}
| 5/2 = 2.5 || 5/3 = 1.{{overline|6}} || [[Sixix]] || {{monzo| -2 -6 5 }}
|-
|-
| [[Sevond]] || 7/2 = 3.5 || 7/5 = 1.4
| 7/2 = 3.5 || 7/5 = 1.4 || [[Sevond]] || {{monzo| 6 -14 7 }}
|-
|-
| [[Artoneutral (temperament)|Artoneutral]] || 9/2 = 4.5 || 9/7 = 1.{{overline|285714}}
| 9/2 = 4.5 || 9/7 = 1.{{overline|285714}} || [[Artoneutral (temperament)|Artoneutral]] || {{monzo| 14 -22 9 }}
|-
|-
| [[Brahmagupta]] || 21/4 = 5.25 || 21/17 = 1.235…
| 21/4 = 5.25 || 21/17 = 1.235… || [[Brahmagupta]] || {{monzo| 40 -56 21 }}
|-
|-
| [[Raider]] || 37/7 = 5.{{overline|285714}} || 37/30 = 1.2{{overline|3}}
| 37/7 = 5.{{overline|285714}} || 37/30 = 1.2{{overline|3}} || [[Raider]] || {{monzo| 71 -99 37 }}
|-
|-
| [[Geb]] || 16/3 = 5.{{overline|3}} || 16/13 = 1.{{overline|230769}}
| 16/3 = 5.{{overline|3}} || 16/13 = 1.{{overline|230769}} || [[Geb]] || {{monzo| -31 43 -16 }}
|-
|-
| [[Undetrita]] || 11/2 = 5.5 || 11/9 = 1.{{overline|2}}
| 11/2 = 5.5 || 11/9 = 1.{{overline|2}} || [[Undetrita]] || {{monzo| -22 30 -11 }}
|}
|}