7edo: Difference between revisions

Jkarimak (talk | contribs)
Intervals in 7-edo: Removed pions column
Jkarimak (talk | contribs)
Intervals in 7-edo: Removed 7mus column
Line 32: Line 32:
! Interval
! Interval
! Cents
! Cents
!7mus
! Closest diatonic <br /> interval name
! Closest diatonic <br /> interval name
! The "neighborhood" of just intervals
! The "neighborhood" of just intervals
Line 38: Line 37:
| 0
| 0
|0.000
|0.000
|0
| unison / prime
| unison / prime
| exactly [[1/1]]
| exactly [[1/1]]
Line 44: Line 42:
| 1
| 1
| 171.429
| 171.429
|219.429 (DB.6DB<sub>16</sub>)
| second
| second
| 6.424¢ from Ptolemy (neutral) second [[11/10]] <br /> 3.215¢ from second [[54/49]] <br> -1.006¢ from the 29th subharmonic [[32/29]] <br /> -10.975¢ from major second (small whole tone) [[10/9]]
| 6.424¢ from Ptolemy (neutral) second [[11/10]] <br /> 3.215¢ from second [[54/49]] <br> -1.006¢ from the 29th subharmonic [[32/29]] <br /> -10.975¢ from major second (small whole tone) [[10/9]]
Line 50: Line 47:
| 2
| 2
| 342.857
| 342.857
|438.857 (1B6.DB7<sub>16</sub>)
| third
| third
| 0.374¢ from neutral third [[39/32]]
| 0.374¢ from neutral third [[39/32]]
Line 57: Line 53:
| 3
| 3
| 514.286
| 514.286
|658.286 (292.492<sub>16</sub>)
| fourth
| fourth
| 16.241¢ from just fourth [[4/3]] (498.045¢) <br /> -5.265¢ from wide fourth [[27/20]]
| 16.241¢ from just fourth [[4/3]] (498.045¢) <br /> -5.265¢ from wide fourth [[27/20]]
Line 63: Line 58:
| 4
| 4
| 685.714
| 685.714
|877.714 (36D.B6E<sub>16</sub>)
| fifth
| fifth
| 5.265 ¢ from narrow fifth [[40/27]] <br /> -16.241¢ from just fifth [[3/2]] (701.955¢)
| 5.265 ¢ from narrow fifth [[40/27]] <br /> -16.241¢ from just fifth [[3/2]] (701.955¢)
Line 69: Line 63:
| 5
| 5
| 857.143
| 857.143
|1097.143 (449.249<sub>16</sub>)
| sixth
| sixth
| 4.551¢ from neutral sixth [[18/11]]
| 4.551¢ from neutral sixth [[18/11]]
Line 76: Line 69:
| 6
| 6
| 1028.571
| 1028.571
|1316.571 (524.925<sub>16</sub>)
| seventh
| seventh
| 10.975¢ from (Didymus) minor seventh [[9/5]] <br /> -6.424¢ from neutral seventh [[20/11]] <br /> 1.006¢ from the 29th harmonic [[29/16]] <br /> -3.215¢ from seventh [[49/27]]
| 10.975¢ from (Didymus) minor seventh [[9/5]] <br /> -6.424¢ from neutral seventh [[20/11]] <br /> 1.006¢ from the 29th harmonic [[29/16]] <br /> -3.215¢ from seventh [[49/27]]
Line 82: Line 74:
| 7
| 7
| 1200
| 1200
|1536 (600<sub>16</sub>)
| eighth
| eighth
| exactly [[2/1]]
| exactly [[2/1]]