7edo: Difference between revisions
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<span style="display: block; text-align: right;">[[7平均律|日本語]]</span> | <span style="display: block; text-align: right;">[[7平均律|日本語]]</span> | ||
7-edo divides the 1200-cent [[octave]] into 7 equal parts, making its smallest interval [[cent|171.428¢]], or the seventh root of 2. It is the fourth [[prime numbers|prime]] edo, after [[2edo]], [[3edo]] and [[5edo]]. | '''7-edo''' divides the 1200-cent [[octave]] into 7 equal parts, making its smallest interval [[cent|171.428¢]], or the seventh root of 2. It is the fourth [[prime numbers|prime]] edo, after [[2edo]], [[3edo]] and [[5edo]]. | ||
__FORCETOC__ | __FORCETOC__ | ||
| Line 32: | Line 32: | ||
| 0 | | 0 | ||
| unison / prime | | unison / prime | ||
| exactly 1/1 | | exactly [[1/1]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 171.429 | | 171.429 | ||
| 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]] | ||
|- | |- | ||
| 2 | | 2 | ||
| 342.857 | | 342.857 | ||
| third | | third | ||
| -4.55¢ from neutral third 11/9 | | -4.55¢ from neutral third [[11/9]] | ||
|- | |- | ||
| 3 | | 3 | ||
| 514.286 | | 514.286 | ||
| fourth | | fourth | ||
| 16. | | 16.241¢ from just fourth [[4/3]] (498.045¢) <br/> -5.265¢ from wide fourth [[27/20]] | ||
|- | |- | ||
| 4 | | 4 | ||
| 685.714 | | 685.714 | ||
| 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 | ||
| sixth | | sixth | ||
| 4.551¢ from neutral sixth 18/11 | | 4.551¢ from neutral sixth [[18/11]] | ||
|- | |- | ||
| 6 | | 6 | ||
| 1028.571 | | 1028.571 | ||
| 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 | ||
| eighth | | eighth | ||
| exactly 2/1 | | exactly [[2/1]] | ||
|} | |} | ||