31edo: Difference between revisions
another approach. now the introduction seems a bit too short, but the Zeta stuff is definitively not at introductory level |
m Format on interval mappings |
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| Line 447: | Line 447: | ||
=== Selected just intervals === | === Selected just intervals === | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
! colspan="2" | | ! colspan="2" | | ||
| Line 464: | Line 462: | ||
! rowspan="2" |Error | ! rowspan="2" |Error | ||
!absolute (¢) | !absolute (¢) | ||
|0.0 | | 0.0 | ||
| -5.18 | | -5.18 | ||
| +0.8 | | +0.8 | ||
| Line 486: | Line 484: | ||
|- | |- | ||
! colspan="2" |[[fifthspan]] | ! colspan="2" |[[fifthspan]] | ||
|0 | | 0 | ||
| +1 | | +1 | ||
| +4 | | +4 | ||
| Line 496: | Line 494: | ||
| -6 | | -6 | ||
|} | |} | ||
==== | ==== 15-odd-limit interval mappings ==== | ||
The following table shows how [[15-odd-limit intervals]] are represented in 31edo. Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''. | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+Direct mapping (even if inconsistent) | |||
|- | |- | ||
! Interval, complement | ! Interval, complement | ||
! Error (abs. | ! Error (abs. [[cent|¢]]) | ||
|- | |- | ||
| '''[[5/4]], [[8/5]]''' | | '''[[5/4]], [[8/5]]''' | ||
| Line 571: | Line 571: | ||
| 16.266 | | 16.266 | ||
|- | |- | ||
| [[18/13]], [[13/9]] | | ''[[18/13]], [[13/9]]'' | ||
| 17.263 | | ''17.263'' | ||
|- | |- | ||
| [[13/11]], [[22/13]] | | ''[[13/11]], [[22/13]]'' | ||
| 18.242 | | ''18.242'' | ||
|} | |} | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+Patent val mapping | |||
|- | |- | ||
! Interval, complement | ! Interval, complement | ||
! Error (abs | ! Error (abs, [[cent|¢]]) | ||
|- | |- | ||
| '''[[5/4]], [[8/5]]''' | | '''[[5/4]], [[8/5]]''' | ||
| Line 651: | Line 650: | ||
| 16.266 | | 16.266 | ||
|- | |- | ||
| [[13/11]], [[22/13]] | | ''[[13/11]], [[22/13]]'' | ||
| 20.468 | | ''20.468'' | ||
|- | |- | ||
| [[18/13]], [[13/9]] | | ''[[18/13]], [[13/9]]'' | ||
| 21.447 | | ''21.447'' | ||
|} | |} | ||
==== Selected 19-limit intervals ==== | |||
[[File:31-edo.svg|alt=alt : Your browser has no SVG support.]] | |||
=== Individual degrees of 31edo === | === Individual degrees of 31edo === | ||
| Line 4,848: | Line 4,851: | ||
=== Software === | === Software === | ||
* [http://31et.com/keyboard.php Virtual Piano Keyboard in 31-Tone Equal Temperament] | * [http://31et.com/keyboard.php Virtual Piano Keyboard in 31-Tone Equal Temperament] | ||
* [http://www.warmplace.ru/forum/viewtopic.php?f=9&t=4750 31EDO Piano — Mini synthesizer in Pixilang] | |||
[[Category:31edo| ]] | [[Category:31edo| ]] | ||
[[Category:Books]] | [[Category:Books]] | ||