Delta-rational chord: Difference between revisions
Cmloegcmluin (talk | contribs) to help keep these closely intertwined concepts straight, consolidate information from isoharmonic/isodifferntial page into this one place, including a categorization table to elucidate their relationships, and introducing concept of "delta ratio set" |
m →Categorization of DR chords: Added a row illustrating "FDR, not JI, not isodifferential". |
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| Line 1,159: | Line 1,159: | ||
!are items all rational? | !are items all rational? | ||
|- | |- | ||
! colspan="1" rowspan=" | ! colspan="1" rowspan="17" |DR | ||
! colspan="1" rowspan=" | ! colspan="1" rowspan="14" |FDR | ||
! colspan="2" rowspan="3" |JI, <i>not</i> isodifferential | ! colspan="2" rowspan="3" |JI, <i>not</i> isodifferential | ||
|4:5:7:8 | |4:5:7:8 | ||
| Line 1,168: | Line 1,168: | ||
| rowspan="3" |no, not all | | rowspan="3" |no, not all | ||
| rowspan="2" |{ 1, 2 } | | rowspan="2" |{ 1, 2 } | ||
| rowspan=" | | rowspan="14" |yes | ||
|- | |- | ||
|3:5:9:11 | |3:5:9:11 | ||
| Line 1,216: | Line 1,216: | ||
|1:ɸ:(2ɸ-1):(3ɸ-2) | |1:ɸ:(2ɸ-1):(3ɸ-2) | ||
| +(ɸ-1)+(ɸ-1)+(ɸ-1) | | +(ɸ-1)+(ɸ-1)+(ɸ-1) | ||
|- | |||
! colspan="2" rowspan="1" |<i>not</i> JI and ''not'' isodifferential | |||
|ɸ:(ɸ+1):(ɸ+3) | |||
| +1+2 | |||
| +1+2 | |||
| no, not all | |||
| { 2 } | |||
|- | |- | ||
! colspan="3" rowspan="3" |(incompletely) DR | ! colspan="3" rowspan="3" |(incompletely) DR | ||