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Scale 169: "Vietnamese Tetratonic"

Scale 169: Vietnamese 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
Vietnamese Tetratonic

Analysis

Cardinality4 (tetratonic)
Pitch Class Set{0,3,5,7}
Forte Number4-22
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 673
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes3
Prime?no
prime: 149
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
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 169 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 533
Scale 533, Ian Ring Music Theory
3rd mode:
Scale 1157
Scale 1157, Ian Ring Music Theory
4th mode:
Scale 1313
Scale 1313, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 149

Scale 149Scale 149: Eskimo Tetratonic, Ian Ring Music TheoryEskimo Tetratonic

Complement

The tetratonic modal family [169, 533, 1157, 1313] (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 169 is 673

Scale 673Scale 673, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 169 is chiral, and its enantiomorph is scale 673

Scale 673Scale 673, Ian Ring Music Theory

Transformations:

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

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 171Scale 171, Ian Ring Music Theory
Scale 173Scale 173: Raga Purnalalita, Ian Ring Music TheoryRaga Purnalalita
Scale 161Scale 161: Raga Sarvasri, Ian Ring Music TheoryRaga Sarvasri
Scale 165Scale 165: Genus Primum, Ian Ring Music TheoryGenus Primum
Scale 177Scale 177, Ian Ring Music Theory
Scale 185Scale 185, Ian Ring Music Theory
Scale 137Scale 137: Ute Tritonic, Ian Ring Music TheoryUte Tritonic
Scale 153Scale 153, Ian Ring Music Theory
Scale 201Scale 201, Ian Ring Music Theory
Scale 233Scale 233, Ian Ring Music Theory
Scale 41Scale 41: Vietnamese Tritonic, Ian Ring Music TheoryVietnamese Tritonic
Scale 105Scale 105, Ian Ring Music Theory
Scale 297Scale 297: Mynic, Ian Ring Music TheoryMynic
Scale 425Scale 425: Raga Kokil Pancham, Ian Ring Music TheoryRaga Kokil Pancham
Scale 681Scale 681: Kyemyonjo, Ian Ring Music TheoryKyemyonjo
Scale 1193Scale 1193: Minor Pentatonic, Ian Ring Music TheoryMinor Pentatonic
Scale 2217Scale 2217: Kagitonic, Ian Ring Music TheoryKagitonic

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.