Back to all scales
The Exciting Universe Of Music Theory

presents more than you ever wanted to know about...

Scale 3003: "Genus Chromaticum"

Also known as: Tcherepnin Nonatonic mode 1, Augmented-9

Scale 3003: Genus Chromaticum, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,1,3,4,5,7,8,9,11}
Forte Number9-12
Rotational Symmetry4, 8 semitones
Palindromicyes
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes2
Prime?no
prime: 1911
Chiralityno
Deep Scaleno
Interval Vector666963
Interval Spectrump6m9n6s6d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {4}
<4> = {5,6}
<5> = {6,7}
<6> = {8}
<7> = {9,10}
<8> = {10,11}
Spectra Variation0.667
Myhill Propertyno
Balancedyes
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3003 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 3549
Scale 3549: Messiaen mode 3 inverse, Ian Ring Music TheoryMessiaen mode 3 inverse
3rd mode:
Scale 1911
Scale 1911: Messiaen mode 3, Ian Ring Music TheoryMessiaen mode 3This is the prime mode

Prime

The prime form of this scale is Scale 1911

Scale 1911Scale 1911: Messiaen mode 3, Ian Ring Music TheoryMessiaen mode 3

Negative

The nonatonic modal family [3003, 3549, 1911] is the negative of the tritonic modal family [273]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3003 is itself, because it is a palindromic scale!

Scale 3003Scale 3003: Genus Chromaticum, Ian Ring Music TheoryGenus Chromaticum

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 3001Scale 3001, Ian Ring Music Theory
Scale 3005Scale 3005, Ian Ring Music Theory
Scale 3007Scale 3007, Ian Ring Music Theory
Scale 2995Scale 2995: Raga Saurashtra, Ian Ring Music TheoryRaga Saurashtra
Scale 2999Scale 2999, Ian Ring Music Theory
Scale 2987Scale 2987, Ian Ring Music Theory
Scale 2971Scale 2971, Ian Ring Music Theory
Scale 3035Scale 3035, Ian Ring Music Theory
Scale 3067Scale 3067, Ian Ring Music Theory
Scale 2875Scale 2875, Ian Ring Music Theory
Scale 2939Scale 2939, Ian Ring Music Theory
Scale 2747Scale 2747, Ian Ring Music Theory
Scale 2491Scale 2491, Ian Ring Music Theory
Scale 3515Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian
Scale 4027Scale 4027, Ian Ring Music Theory
Scale 955Scale 955, Ian Ring Music Theory
Scale 1979Scale 1979, Ian Ring Music Theory

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js