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Scale 1547

Scale 1547, 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

Cardinality5 (pentatonic)
Pitch Class Set{0,1,3,9,10}
Forte Number5-10
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2573
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 91
Deep Scaleno
Interval Vector223111
Interval Spectrumpmn3s2d2t
Distribution Spectra<1> = {1,2,6}
<2> = {3,7,8}
<3> = {4,5,9}
<4> = {6,10,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area1.366
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
Diminished Triads{9,0,3}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 1547 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2821
Scale 2821, Ian Ring Music Theory
3rd mode:
Scale 1729
Scale 1729, Ian Ring Music Theory
4th mode:
Scale 91
Scale 91, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 2093
Scale 2093, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 91

Scale 91Scale 91, Ian Ring Music Theory

Complement

The pentatonic modal family [1547, 2821, 1729, 91, 2093] (Forte: 5-10) is the complement of the heptatonic modal family [607, 761, 1993, 2351, 3223, 3659, 3877] (Forte: 7-10)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1547 is 2573

Scale 2573Scale 2573, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1547 is chiral, and its enantiomorph is scale 2573

Scale 2573Scale 2573, Ian Ring Music Theory

Transformations:

T0 1547  T0I 2573
T1 3094  T1I 1051
T2 2093  T2I 2102
T3 91  T3I 109
T4 182  T4I 218
T5 364  T5I 436
T6 728  T6I 872
T7 1456  T7I 1744
T8 2912  T8I 3488
T9 1729  T9I 2881
T10 3458  T10I 1667
T11 2821  T11I 3334

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 1545Scale 1545, Ian Ring Music Theory
Scale 1549Scale 1549, Ian Ring Music Theory
Scale 1551Scale 1551, Ian Ring Music Theory
Scale 1539Scale 1539, Ian Ring Music Theory
Scale 1543Scale 1543, Ian Ring Music Theory
Scale 1555Scale 1555, Ian Ring Music Theory
Scale 1563Scale 1563, Ian Ring Music Theory
Scale 1579Scale 1579: Sagimic, Ian Ring Music TheorySagimic
Scale 1611Scale 1611: Dacrimic, Ian Ring Music TheoryDacrimic
Scale 1675Scale 1675: Raga Salagavarali, Ian Ring Music TheoryRaga Salagavarali
Scale 1803Scale 1803, Ian Ring Music Theory
Scale 1035Scale 1035, Ian Ring Music Theory
Scale 1291Scale 1291, Ian Ring Music Theory
Scale 523Scale 523, Ian Ring Music Theory
Scale 2571Scale 2571, Ian Ring Music Theory
Scale 3595Scale 3595, Ian Ring Music Theory

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