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Scale 2949

Scale 2949, 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

Cardinality6 (hexatonic)
Pitch Class Set{0,2,7,8,9,11}
Forte Number6-Z11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1083
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 183
Deep Scaleno
Interval Vector333231
Interval Spectrump3m2n3s3d3t
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6,7}
<3> = {4,5,7,8}
<4> = {5,6,9,10}
<5> = {7,10,11}
Spectra Variation3.667
Maximally Evenno
Maximal Area Setno
Interior Area1.866
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 TriadsG{7,11,2}110.5
Diminished Triadsg♯°{8,11,2}110.5
Parsimonious Voice Leading Between Common Triads of Scale 2949. Created by Ian Ring ©2019 Parsimonious Voice Leading Between Common Triads of Scale 2949. Created by Ian Ring ©2019 G g#° g#° G->g#°

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2949 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1761
Scale 1761, Ian Ring Music Theory
3rd mode:
Scale 183
Scale 183, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2139
Scale 2139, Ian Ring Music Theory
5th mode:
Scale 3117
Scale 3117, Ian Ring Music Theory
6th mode:
Scale 1803
Scale 1803, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 183

Scale 183Scale 183, Ian Ring Music Theory

Complement

The hexatonic modal family [2949, 1761, 183, 2139, 3117, 1803] (Forte: 6-Z11) is the complement of the hexatonic modal family [303, 753, 1929, 2199, 3147, 3621] (Forte: 6-Z40)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2949 is 1083

Scale 1083Scale 1083, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2949 is chiral, and its enantiomorph is scale 1083

Scale 1083Scale 1083, Ian Ring Music Theory

Transformations:

T0 2949  T0I 1083
T1 1803  T1I 2166
T2 3606  T2I 237
T3 3117  T3I 474
T4 2139  T4I 948
T5 183  T5I 1896
T6 366  T6I 3792
T7 732  T7I 3489
T8 1464  T8I 2883
T9 2928  T9I 1671
T10 1761  T10I 3342
T11 3522  T11I 2589

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 2951Scale 2951, Ian Ring Music Theory
Scale 2945Scale 2945, Ian Ring Music Theory
Scale 2947Scale 2947, Ian Ring Music Theory
Scale 2953Scale 2953: Ionylimic, Ian Ring Music TheoryIonylimic
Scale 2957Scale 2957: Thygian, Ian Ring Music TheoryThygian
Scale 2965Scale 2965: Darian, Ian Ring Music TheoryDarian
Scale 2981Scale 2981: Ionolian, Ian Ring Music TheoryIonolian
Scale 3013Scale 3013: Thynian, Ian Ring Music TheoryThynian
Scale 2821Scale 2821, Ian Ring Music Theory
Scale 2885Scale 2885: Byrimic, Ian Ring Music TheoryByrimic
Scale 2693Scale 2693, Ian Ring Music Theory
Scale 2437Scale 2437, Ian Ring Music Theory
Scale 3461Scale 3461, Ian Ring Music Theory
Scale 3973Scale 3973, Ian Ring Music Theory
Scale 901Scale 901, Ian Ring Music Theory
Scale 1925Scale 1925, 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.

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.