User:Eufalesio/Ultimate: Difference between revisions
suggested edits, feel free to undo any you don't like |
Partial reversal on the summary table, did some explaining Tags: Visual edit Mobile edit Mobile web edit Advanced mobile edit |
||
| Line 18: | Line 18: | ||
=== Interval list === | === Interval list === | ||
Here is a quick compressed cheat sheet of octave-reduced intervals. This is a MASSIVE simplification with many (infinitely many) intervals left out for the sake of brevity. For every entry here, | Here is a quick compressed cheat sheet of octave-reduced intervals. This is a MASSIVE simplification with many (infinitely many) intervals left out for the sake of brevity. For every entry here, intervals here represent pitch-classes, and their pitch class inverses; so for instance 8/5 pitch class is mapped to +8 fifths -1 minicomma, being the octave inverse of 5/4 pitch class negates the mappings so it is found at -8 fifths + 1 minicomma. | ||
{| class="wikitable" | {| class="wikitable" | ||
! | ! | ||
! colspan=" | ! colspan="2" |minicomma-span | ||
|- | |- | ||
!'''Fifth-span''' | !'''Fifth-span''' | ||
!-1 | !-1 | ||
!0 | !0 | ||
|- | |- | ||
!0 | !0 | ||
|720/361 | |720/361 | ||
|1/1 | |1/1 | ||
|- | |- | ||
!1 | !1 | ||
|256/171 | |256/171 | ||
|'''3/2''' | |'''3/2''' | ||
|- | |- | ||
!2 | !2 | ||
|64/57 | |64/57 | ||
|'''9/8''' | |'''9/8''' | ||
|- | |- | ||
!3 | !3 | ||
|'''32/19''' | |'''32/19''' | ||
|27/16 | |27/16 | ||
|- | |- | ||
!4 | !4 | ||
|24/19 | |24/19 | ||
|81/64 | |81/64 | ||
|- | |- | ||
!5 | !5 | ||
|36/19 | |36/19 | ||
|243/128 | |243/128 | ||
|- | |- | ||
!6 | !6 | ||
|64/45 | |64/45 | ||
|729/512 | |729/512 | ||
|- | |- | ||
!7 | !7 | ||
|'''16/15''' | |'''16/15''' | ||
|77/72 | |77/72 | ||
|- | |- | ||
!8 | !8 | ||
|'''8/5''' | |'''8/5''' | ||
|77/48 | |77/48 | ||
|- | |- | ||
!9 | !9 | ||
|6/5 | |6/5 | ||
|77/64 | |77/64 | ||
|- | |- | ||
!10 | !10 | ||
|9/5 | |9/5 | ||
|65/36 | |65/36 | ||
|- | |- | ||
!11 | !11 | ||
|27/20 | |27/20 | ||
|65/48 | |65/48 | ||
|- | |- | ||
!12 | !12 | ||
|81/80 | |81/80 | ||
|64/63 | |64/63 | ||
|- | |- | ||
!13 | !13 | ||
|243/160 | |243/160 | ||
|32/21 | |32/21 | ||
|- | |- | ||
!14 | !14 | ||
|729/640 | |729/640 | ||
|'''8/7''' | |'''8/7''' | ||
|- | |- | ||
!15 | !15 | ||
|416/243 | |416/243 | ||
|12/7 | |12/7 | ||
|- | |- | ||
!16 | !16 | ||
|104/81 | |104/81 | ||
|9/7 | |9/7 | ||
|- | |- | ||
!17 | !17 | ||
|52/27 | |52/27 | ||
|27/14 | |27/14 | ||
|- | |- | ||
!18 | !18 | ||
|13/9 | |13/9 | ||
|81/56 | |81/56 | ||
|- | |- | ||
!19 | !19 | ||
|13/12 | |13/12 | ||
|88/81 | |88/81 | ||
|- | |- | ||
!20 | !20 | ||
|'''13/8''' | |'''13/8''' | ||
|44/27 | |44/27 | ||
|- | |- | ||
!21 | !21 | ||
|39/32 | |39/32 | ||
|11/9 | |11/9 | ||
|- | |- | ||
!22 | !22 | ||
|64/35 | |64/35 | ||
|11/6 | |11/6 | ||
|- | |- | ||
!23 | !23 | ||
|48/35 | |48/35 | ||
|'''11/8''' | |'''11/8''' | ||
|- | |- | ||
!24 | !24 | ||
|36/35 | |36/35 | ||
|33/32 | |33/32 | ||
|} | |} | ||