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Scale 3003: "Genus Chromaticum"

Scale 3003: Genus Chromaticum, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

41161837294116105072918310504116183
Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Unknown / Unsorted
Genus Chromaticum
Augmented-9
Named After Composers
Tcherepnin Nonatonic Mode 1
Zeitler
Zydygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,3,4,5,7,8,9,11}
Forte Number9-12
Rotational Symmetry4, 8 semitones
Reflection Axes0, 2, 4
Palindromicyes
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes2
Prime?no
prime: 1911
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
Maximally Evenyes
Maximal Area Setyes
Interior Area2.799
Myhill Propertyno
Balancedyes
Ridge Tones[0,4,8]
ProprietyProper
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

Complement

The nonatonic modal family [3003, 3549, 1911] (Forte: 9-12) is the complement of the tritonic modal family [273] (Forte: 3-12)

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

Transformations:

T0 3003  T0I 3003
T1 1911  T1I 1911
T2 3822  T2I 3822
T3 3549  T3I 3549
T4 3003  T4I 3003
T5 1911  T5I 1911
T6 3822  T6I 3822
T7 3549  T7I 3549
T8 3003  T8I 3003
T9 1911  T9I 1911
T10 3822  T10I 3822
T11 3549  T11I 3549

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: Lonyllic, Ian Ring Music TheoryLonyllic
Scale 3005Scale 3005: Gycrygic, Ian Ring Music TheoryGycrygic
Scale 3007Scale 3007: Zyryllian, Ian Ring Music TheoryZyryllian
Scale 2995Scale 2995: Raga Saurashtra, Ian Ring Music TheoryRaga Saurashtra
Scale 2999Scale 2999: Chromatic and Permuted Diatonic Dorian Mixed, Ian Ring Music TheoryChromatic and Permuted Diatonic Dorian Mixed
Scale 2987Scale 2987: Neapolitan Major and Minor Mixed, Ian Ring Music TheoryNeapolitan Major and Minor Mixed
Scale 2971Scale 2971: Aeolynyllic, Ian Ring Music TheoryAeolynyllic
Scale 3035Scale 3035: Gocrygic, Ian Ring Music TheoryGocrygic
Scale 3067Scale 3067: Goptyllian, Ian Ring Music TheoryGoptyllian
Scale 2875Scale 2875: Ganyllic, Ian Ring Music TheoryGanyllic
Scale 2939Scale 2939: Goptygic, Ian Ring Music TheoryGoptygic
Scale 2747Scale 2747: Stythyllic, Ian Ring Music TheoryStythyllic
Scale 2491Scale 2491: Layllic, Ian Ring Music TheoryLayllic
Scale 3515Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian
Scale 4027Scale 4027: Ragyllian, Ian Ring Music TheoryRagyllian
Scale 955Scale 955: Ionogyllic, Ian Ring Music TheoryIonogyllic
Scale 1979Scale 1979: Aeradygic, Ian Ring Music TheoryAeradygic

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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.