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Scale 149: "Eskimo Tetratonic"

Scale 149: Eskimo Tetratonic, 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

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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

Exoticisms
Eskimo Tetratonic

Analysis

Cardinality4 (tetratonic)
Pitch Class Set{0,2,4,7}
Forte Number4-22
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1313
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes3
Prime?yes
Deep Scaleno
Interval Vector021120
Interval Spectrump2mns2
Distribution Spectra<1> = {2,3,5}
<2> = {4,5,7,8}
<3> = {7,9,10}
Spectra Variation2.5
Maximally Evenno
Maximal Area Setno
Interior Area1.616
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsC{0,4,7}000

Since there is only one common triad in this scale, there are no opportunities for parsimonious voice leading between triads.

Modes

Modes are the rotational transformation of this scale. Scale 149 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 1061
Scale 1061, Ian Ring Music Theory
3rd mode:
Scale 1289
Scale 1289, Ian Ring Music Theory
4th mode:
Scale 673
Scale 673, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Complement

The tetratonic modal family [149, 1061, 1289, 673] (Forte: 4-22) is the complement of the octatonic modal family [1391, 1469, 1781, 1963, 2743, 3029, 3419, 3757] (Forte: 8-22)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 149 is 1313

Scale 1313Scale 1313, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 149 is chiral, and its enantiomorph is scale 1313

Scale 1313Scale 1313, Ian Ring Music Theory

Transformations:

T0 149  T0I 1313
T1 298  T1I 2626
T2 596  T2I 1157
T3 1192  T3I 2314
T4 2384  T4I 533
T5 673  T5I 1066
T6 1346  T6I 2132
T7 2692  T7I 169
T8 1289  T8I 338
T9 2578  T9I 676
T10 1061  T10I 1352
T11 2122  T11I 2704

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 151Scale 151, Ian Ring Music Theory
Scale 145Scale 145: Raga Malasri, Ian Ring Music TheoryRaga Malasri
Scale 147Scale 147, Ian Ring Music Theory
Scale 153Scale 153, Ian Ring Music Theory
Scale 157Scale 157, Ian Ring Music Theory
Scale 133Scale 133, Ian Ring Music Theory
Scale 141Scale 141, Ian Ring Music Theory
Scale 165Scale 165: Genus Primum, Ian Ring Music TheoryGenus Primum
Scale 181Scale 181: Raga Budhamanohari, Ian Ring Music TheoryRaga Budhamanohari
Scale 213Scale 213, Ian Ring Music Theory
Scale 21Scale 21, Ian Ring Music Theory
Scale 85Scale 85, Ian Ring Music Theory
Scale 277Scale 277: Mixolyric, Ian Ring Music TheoryMixolyric
Scale 405Scale 405: Raga Bhupeshwari, Ian Ring Music TheoryRaga Bhupeshwari
Scale 661Scale 661: Major Pentatonic, Ian Ring Music TheoryMajor Pentatonic
Scale 1173Scale 1173: Dominant Pentatonic, Ian Ring Music TheoryDominant Pentatonic
Scale 2197Scale 2197: Raga Hamsadhvani, Ian Ring Music TheoryRaga Hamsadhvani

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.