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Scale 1967: "Diatonic Dorian Mixed"

Scale 1967: Diatonic Dorian Mixed, 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

Western Mixed
Diatonic Dorian Mixed
Mixed Chromatic Dorian
Zeitler
Godygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,5,7,8,9,10}
Forte Number9-9
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections1
Modes8
Prime?no
prime: 1519
Deep Scaleno
Interval Vector676683
Interval Spectrump8m6n6s7d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {5,6}
<5> = {6,7}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.333
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[10]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1967 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3031
Scale 3031: Epithygic, Ian Ring Music TheoryEpithygic
3rd mode:
Scale 3563
Scale 3563: Ionoptygic, Ian Ring Music TheoryIonoptygic
4th mode:
Scale 3829
Scale 3829: Taishikicho, Ian Ring Music TheoryTaishikicho
5th mode:
Scale 1981
Scale 1981: Houseini, Ian Ring Music TheoryHouseini
6th mode:
Scale 1519
Scale 1519: Locrian/Aeolian Mixed, Ian Ring Music TheoryLocrian/Aeolian MixedThis is the prime mode
7th mode:
Scale 2807
Scale 2807: Zylygic, Ian Ring Music TheoryZylygic
8th mode:
Scale 3451
Scale 3451: Garygic, Ian Ring Music TheoryGarygic
9th mode:
Scale 3773
Scale 3773: Raga Malgunji, Ian Ring Music TheoryRaga Malgunji

Prime

The prime form of this scale is Scale 1519

Scale 1519Scale 1519: Locrian/Aeolian Mixed, Ian Ring Music TheoryLocrian/Aeolian Mixed

Complement

The nonatonic modal family [1967, 3031, 3563, 3829, 1981, 1519, 2807, 3451, 3773] (Forte: 9-9) is the complement of the tritonic modal family [133, 161, 1057] (Forte: 3-9)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1967 is 3773

Scale 3773Scale 3773: Raga Malgunji, Ian Ring Music TheoryRaga Malgunji

Transformations:

T0 1967  T0I 3773
T1 3934  T1I 3451
T2 3773  T2I 2807
T3 3451  T3I 1519
T4 2807  T4I 3038
T5 1519  T5I 1981
T6 3038  T6I 3962
T7 1981  T7I 3829
T8 3962  T8I 3563
T9 3829  T9I 3031
T10 3563  T10I 1967
T11 3031  T11I 3934

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 1965Scale 1965: Raga Mukhari, Ian Ring Music TheoryRaga Mukhari
Scale 1963Scale 1963: Epocryllic, Ian Ring Music TheoryEpocryllic
Scale 1959Scale 1959: Katolyllic, Ian Ring Music TheoryKatolyllic
Scale 1975Scale 1975: Ionocrygic, Ian Ring Music TheoryIonocrygic
Scale 1983Scale 1983: Soryllian, Ian Ring Music TheorySoryllian
Scale 1935Scale 1935: Mycryllic, Ian Ring Music TheoryMycryllic
Scale 1951Scale 1951: Marygic, Ian Ring Music TheoryMarygic
Scale 1999Scale 1999: Zacrygic, Ian Ring Music TheoryZacrygic
Scale 2031Scale 2031: Gadyllian, Ian Ring Music TheoryGadyllian
Scale 1839Scale 1839: Zogyllic, Ian Ring Music TheoryZogyllic
Scale 1903Scale 1903: Rocrygic, Ian Ring Music TheoryRocrygic
Scale 1711Scale 1711: Adonai Malakh, Ian Ring Music TheoryAdonai Malakh
Scale 1455Scale 1455: Phrygiolian, Ian Ring Music TheoryPhrygiolian
Scale 943Scale 943: Aerygyllic, Ian Ring Music TheoryAerygyllic
Scale 2991Scale 2991: Zanygic, Ian Ring Music TheoryZanygic
Scale 4015Scale 4015: Phradyllian, Ian Ring Music TheoryPhradyllian

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.