7edo: Difference between revisions
cat rename; -cat |
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| Line 32: | Line 32: | ||
! Interval | ! Interval | ||
! Cents | ! Cents | ||
! Closest diatonic <br/> interval name | !pions | ||
!7mus | |||
! Closest diatonic <br /> interval name | |||
! The "neighborhood" of just intervals | ! The "neighborhood" of just intervals | ||
|- | |- | ||
| 0 | | 0 | ||
| 0 | | colspan="3" | 0 | ||
| unison / prime | | unison / prime | ||
| exactly [[1/1]] | | exactly [[1/1]] | ||
| Line 42: | Line 44: | ||
| 1 | | 1 | ||
| 171.429 | | 171.429 | ||
|181.857 | |||
|219.429 (DB.6DB<sub>16</sub>) | |||
| second | | second | ||
| 6.424¢ from Ptolemy (neutral) second [[11/10]] <br/> 3.215¢ from second [[54/49]] < | | 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]] | ||
|- | |- | ||
| 2 | | 2 | ||
| 342.857 | | 342.857 | ||
|363.714 | |||
|438.857 (1B6.DB7<sub>16</sub>) | |||
| third | | third | ||
| -4.55¢ from neutral third [[11/9]] | | -4.55¢ from neutral third [[11/9]] | ||
| Line 52: | Line 58: | ||
| 3 | | 3 | ||
| 514.286 | | 514.286 | ||
|545.571 | |||
|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]] | ||
|- | |- | ||
| 4 | | 4 | ||
| 685.714 | | 685.714 | ||
|726.429 | |||
|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¢) | ||
|- | |- | ||
| 5 | | 5 | ||
| 857.143 | | 857.143 | ||
|908.286 | |||
|1097.143 (449.249<sub>16</sub>) | |||
| sixth | | sixth | ||
| 4.551¢ from neutral sixth [[18/11]] | | 4.551¢ from neutral sixth [[18/11]] | ||
| Line 67: | Line 79: | ||
| 6 | | 6 | ||
| 1028.571 | | 1028.571 | ||
|1090.143 | |||
|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]] | ||
|- | |- | ||
| 7 | | 7 | ||
| 1200 | | 1200 | ||
|1272 | |||
|1536 (600<sub>16</sub>) | |||
| eighth | | eighth | ||
| exactly [[2/1]] | | exactly [[2/1]] | ||