User:Ganaram inukshuk/TAMNAMS: Difference between revisions
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|+Table of alterations, with abbreviations | |+Table of alterations, with abbreviations | ||
|- | |- | ||
! | ! rowspan="2" |Chromas | ||
!Perfectable intervals | ! colspan="2" |Perfectable intervals | ||
! | ! colspan="2" | Non-perfectable intervals | ||
|- | |- | ||
!Interval quality | |||
!Abbrev. | |||
!Interval quality | |||
!Abbrev. | |||
|- | |- | ||
| + | | +4 | ||
| | |Quadruply-augmented | ||
| | |A<sup>4</sup> or A^4 | ||
|Quadruply-augmented | |||
|A<sup>4</sup> or A^4 | |||
|- | |- | ||
| + | | +3 | ||
| | |Triply-augmented | ||
| | |AAA, A<sup>3</sup>, or A^3 | ||
|Triply-augmented | |||
|AAA, A<sup>3</sup>, or A^3 | |||
|- | |- | ||
| + | | +2 | ||
| | |Doubly-augmented | ||
| | |AA | ||
|Doubly-augmented | |||
|AA | |||
|- | |- | ||
| | | +1 | ||
| | |Augmented | ||
| | |A | ||
|Augmented | |||
|A | |||
|- | |- | ||
| | | rowspan="2" |0 | ||
| rowspan="2" |Perfect | |||
| rowspan="2" |P | |||
|Major | |||
|M | |||
|- | |- | ||
| | |Minor | ||
| | |m | ||
|- | |- | ||
| - | | -1 | ||
| | |Diminished | ||
| | |d | ||
|Diminished | |||
|d | |||
|- | |- | ||
| - | | -2 | ||
| | |Doubly-diminished | ||
| | |dd | ||
|Doubly-diminished | |||
|dd | |||
|- | |- | ||
| -4 | | -3 | ||
|Quadruply-diminished | |Triply-diminished | ||
|Quadruply-diminished | |ddd, d<sup>3</sup>, or d^3 | ||
|Triply-diminished | |||
|ddd, d<sup>3</sup>, or d^3 | |||
|- | |||
| -4 | |||
|Quadruply-diminished | |||
|d<sup>4</sup> or d^4 | |||
|Quadruply-diminished | |||
|d<sup>4</sup> or d^4 | |||
|} | |} | ||
=== Interval arithmetic === | |||
A discussion on how to perform interval arithmetic can be found at <link>. | |||
===Other terminology and other intervals=== | ===Other terminology and other intervals=== | ||
Intervals that have a perfect variety (the unison, period intervals, and generators) are called ''perfectable intervals'', whereas intervals that do not have a perfect variety are called ''non-perfectable intervals''. Intervals corresponding to the generators may be called ''imperfect intervals'' since, unlike the period and unison, they have two varieties instead of one. | Intervals that have a perfect variety (the unison, period intervals, and generators) are called ''perfectable intervals'', whereas intervals that do not have a perfect variety are called ''non-perfectable intervals''. Intervals corresponding to the generators may be called ''imperfect intervals'' since, unlike the period and unison, they have two varieties instead of one. | ||