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Scale 147

Scale 147, 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).

Analysis

Cardinality4 (tetratonic)
Pitch Class Set{0,1,4,7}
Forte Number4-18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2337
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?yes
Deep Scaleno
Interval Vector102111
Interval Spectrumpmn2dt
Distribution Spectra<1> = {1,3,5}
<2> = {4,6,8}
<3> = {7,9,11}
Spectra Variation3
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 147 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 2121
Scale 2121, Ian Ring Music Theory
3rd mode:
Scale 777
Scale 777, Ian Ring Music Theory
4th mode:
Scale 609
Scale 609, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Complement

The tetratonic modal family [147, 2121, 777, 609] (Forte: 4-18) is the complement of the octatonic modal family [879, 1779, 1947, 2487, 2937, 3021, 3291, 3693] (Forte: 8-18)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 147 is 2337

Scale 2337Scale 2337, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 147 is chiral, and its enantiomorph is scale 2337

Scale 2337Scale 2337, Ian Ring Music Theory

Transformations:

T0 147  T0I 2337
T1 294  T1I 579
T2 588  T2I 1158
T3 1176  T3I 2316
T4 2352  T4I 537
T5 609  T5I 1074
T6 1218  T6I 2148
T7 2436  T7I 201
T8 777  T8I 402
T9 1554  T9I 804
T10 3108  T10I 1608
T11 2121  T11I 3216

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 145Scale 145: Raga Malasri, Ian Ring Music TheoryRaga Malasri
Scale 149Scale 149: Eskimo Tetratonic, Ian Ring Music TheoryEskimo Tetratonic
Scale 151Scale 151, Ian Ring Music Theory
Scale 155Scale 155, Ian Ring Music Theory
Scale 131Scale 131, Ian Ring Music Theory
Scale 139Scale 139, Ian Ring Music Theory
Scale 163Scale 163, Ian Ring Music Theory
Scale 179Scale 179, Ian Ring Music Theory
Scale 211Scale 211, Ian Ring Music Theory
Scale 19Scale 19, Ian Ring Music Theory
Scale 83Scale 83, Ian Ring Music Theory
Scale 275Scale 275: Dalic, Ian Ring Music TheoryDalic
Scale 403Scale 403: Raga Reva, Ian Ring Music TheoryRaga Reva
Scale 659Scale 659: Raga Rasika Ranjani, Ian Ring Music TheoryRaga Rasika Ranjani
Scale 1171Scale 1171: Raga Manaranjani I, Ian Ring Music TheoryRaga Manaranjani I
Scale 2195Scale 2195: Zalitonic, Ian Ring Music TheoryZalitonic

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.