User:Zhenlige/Chromatic notation: Difference between revisions
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The 12edo diatonic based interval names along the chain of fifths is P1-P5-WM2-WM6-WM3-WM7-WT-Wm2-Wm6-Wm3-Wm7-S4-S1-S5-SM2-… with the quality goes as perfect - wide major - wide minor - super | The 12edo diatonic based interval names along the chain of fifths is P1-P5-WM2-WM6-WM3-WM7-WT-Wm2-Wm6-Wm3-Wm7-S4-S1-S5-SM2-… with the quality goes as perfect - wide major - wide minor - super - super major - super minor - double super … . | ||
== Note names == | == Note names == | ||
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== Applications == | == Applications == | ||
The chromatic notation is useful for notating temperaments | The chromatic notation is useful for notating temperaments that require many fifths to get some primes, making diatonic notation very unintuitive, or that have interdiatonic degrees such as the half octave. | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ Interval mappings in some temperaments<br>(12edo diatonic based names) | ||
! Interval !! [[Ponta]] !! [[Cassandra]] !! [[Leapday]] | ! Interval !! [[Ponta]] !! [[Cassandra]] !! [[Leapday]] !! [[Diaschismic]] | ||
|- | |- | ||
| [[5/4]] || nM3 || nM3 || Sm3 | | [[5/4]] || nM3 || nM3 || Sm3 || ~M3 | ||
|- | |- | ||
| [[7/4]] || 3SM6 || sm7 || SM6 | | [[7/4]] || 3SM6 || sm7 || SM6 || 1/2-sm7 | ||
|- | |- | ||
| [[11/8]] || 7s5 || 2S4 || S4 | | [[11/8]] || 7s5 || 2S4 || S4 || 1/2-sT | ||
|- | |- | ||
| [[13/8]] || || Sm6 || Wm6 | | [[13/8]] || || Sm6 || Wm6 || 1/2-sM6 | ||
|- | |||
| [[17/16]] || || || 2S1 || ~m2 | |||
|} | |||
{| class="wikitable" | |||
|+ Interval mappings in some temperaments<br>(n-sem names) | |||
! Interval !! [[Ponta]] !! [[Cassandra]] !! [[Leapday]] !! [[Diaschismic]] | |||
|- | |||
| [[5/4]] || n4s || n4s || S3s || ~4s | |||
|- | |||
| [[7/4]] || 3S9s || s10s || S9s || 1/2-s10s | |||
|- | |||
| [[11/8]] || 7s7s || 2S5s || S5s || 1/2-s6s | |||
|- | |||
| [[13/8]] || || S8s || W8s || 1/2-s9s | |||
|- | |||
| [[17/16]] || || || 2S0s || ~1s | |||
|} | |} | ||