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Scale 3169

Scale 3169, 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).

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,5,6,10,11}
Forte Number5-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 199
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes4
Prime?no
prime: 199
Deep Scaleno
Interval Vector310132
Interval Spectrump3msd3t2
Distribution Spectra<1> = {1,4,5}
<2> = {2,5,6}
<3> = {6,7,10}
<4> = {7,8,11}
Spectra Variation3.2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3169 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 227
Scale 227, Ian Ring Music Theory
3rd mode:
Scale 2161
Scale 2161, Ian Ring Music Theory
4th mode:
Scale 391
Scale 391, Ian Ring Music Theory
5th mode:
Scale 2243
Scale 2243, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 199

Scale 199Scale 199: Raga Nabhomani, Ian Ring Music TheoryRaga Nabhomani

Complement

The pentatonic modal family [3169, 227, 2161, 391, 2243] (Forte: 5-7) is the complement of the heptatonic modal family [463, 967, 2279, 2531, 3187, 3313, 3641] (Forte: 7-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3169 is 199

Scale 199Scale 199: Raga Nabhomani, Ian Ring Music TheoryRaga Nabhomani

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3169 is chiral, and its enantiomorph is scale 199

Scale 199Scale 199: Raga Nabhomani, Ian Ring Music TheoryRaga Nabhomani

Transformations:

T0 3169  T0I 199
T1 2243  T1I 398
T2 391  T2I 796
T3 782  T3I 1592
T4 1564  T4I 3184
T5 3128  T5I 2273
T6 2161  T6I 451
T7 227  T7I 902
T8 454  T8I 1804
T9 908  T9I 3608
T10 1816  T10I 3121
T11 3632  T11I 2147

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 3171Scale 3171: Zythimic, Ian Ring Music TheoryZythimic
Scale 3173Scale 3173: Zarimic, Ian Ring Music TheoryZarimic
Scale 3177Scale 3177: Rothimic, Ian Ring Music TheoryRothimic
Scale 3185Scale 3185: Messiaen Mode 5 Inverse, Ian Ring Music TheoryMessiaen Mode 5 Inverse
Scale 3137Scale 3137, Ian Ring Music Theory
Scale 3153Scale 3153: Zathitonic, Ian Ring Music TheoryZathitonic
Scale 3105Scale 3105, Ian Ring Music Theory
Scale 3233Scale 3233, Ian Ring Music Theory
Scale 3297Scale 3297, Ian Ring Music Theory
Scale 3425Scale 3425, Ian Ring Music Theory
Scale 3681Scale 3681, Ian Ring Music Theory
Scale 2145Scale 2145: Messiaen Truncated Mode 5 Inverse, Ian Ring Music TheoryMessiaen Truncated Mode 5 Inverse
Scale 2657Scale 2657, Ian Ring Music Theory
Scale 1121Scale 1121, 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, 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.