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Scale 179

Scale 179, 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{0,1,4,5,7}
Forte Number5-Z18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2465
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?yes
Deep Scaleno
Interval Vector212221
Interval Spectrump2m2n2sd2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {3,4,6,7}
<3> = {5,6,8,9}
<4> = {7,9,10,11}
Spectra Variation3.2
Maximally Evenno
Maximal Area Setno
Interior Area1.683
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}110.5
Diminished Triadsc♯°{1,4,7}110.5
Parsimonious Voice Leading Between Common Triads of Scale 179. Created by Ian Ring ©2019 C C c#° c#° C->c#°

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 179 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2137
Scale 2137, Ian Ring Music Theory
3rd mode:
Scale 779
Scale 779, Ian Ring Music Theory
4th mode:
Scale 2437
Scale 2437, Ian Ring Music Theory
5th mode:
Scale 1633
Scale 1633, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Complement

The pentatonic modal family [179, 2137, 779, 2437, 1633] (Forte: 5-Z18) is the complement of the heptatonic modal family [755, 815, 1945, 2425, 2455, 3275, 3685] (Forte: 7-Z18)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 179 is 2465

Scale 2465Scale 2465: Raga Devaranjani, Ian Ring Music TheoryRaga Devaranjani

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 179 is chiral, and its enantiomorph is scale 2465

Scale 2465Scale 2465: Raga Devaranjani, Ian Ring Music TheoryRaga Devaranjani

Transformations:

T0 179  T0I 2465
T1 358  T1I 835
T2 716  T2I 1670
T3 1432  T3I 3340
T4 2864  T4I 2585
T5 1633  T5I 1075
T6 3266  T6I 2150
T7 2437  T7I 205
T8 779  T8I 410
T9 1558  T9I 820
T10 3116  T10I 1640
T11 2137  T11I 3280

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 177Scale 177, Ian Ring Music Theory
Scale 181Scale 181: Raga Budhamanohari, Ian Ring Music TheoryRaga Budhamanohari
Scale 183Scale 183, Ian Ring Music Theory
Scale 187Scale 187, Ian Ring Music Theory
Scale 163Scale 163, Ian Ring Music Theory
Scale 171Scale 171, Ian Ring Music Theory
Scale 147Scale 147, Ian Ring Music Theory
Scale 211Scale 211, Ian Ring Music Theory
Scale 243Scale 243, Ian Ring Music Theory
Scale 51Scale 51, Ian Ring Music Theory
Scale 115Scale 115, Ian Ring Music Theory
Scale 307Scale 307: Raga Megharanjani, Ian Ring Music TheoryRaga Megharanjani
Scale 435Scale 435: Raga Purna Pancama, Ian Ring Music TheoryRaga Purna Pancama
Scale 691Scale 691: Raga Kalavati, Ian Ring Music TheoryRaga Kalavati
Scale 1203Scale 1203: Pagimic, Ian Ring Music TheoryPagimic
Scale 2227Scale 2227: Raga Gaula, Ian Ring Music TheoryRaga Gaula

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. Special thanks to Richard Repp for helping with technical accuracy.