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Scale 3809

Scale 3809, 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

Cardinality7 (heptatonic)
Pitch Class Set{0,5,6,7,9,10,11}
Forte Number7-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 239
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 239
Deep Scaleno
Interval Vector543342
Interval Spectrump4m3n3s4d5t2
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6}
<3> = {3,4,7}
<4> = {5,8,9}
<5> = {6,9,10}
<6> = {7,10,11}
Spectra Variation3.429
Maximally Evenno
Maximal Area Setno
Interior Area1.933
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 TriadsF{5,9,0}110.5
Diminished Triadsf♯°{6,9,0}110.5
Parsimonious Voice Leading Between Common Triads of Scale 3809. Created by Ian Ring ©2019 F F f#° f#° F->f#°

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 3809 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 247
Scale 247, Ian Ring Music Theory
3rd mode:
Scale 2171
Scale 2171, Ian Ring Music Theory
4th mode:
Scale 3133
Scale 3133, Ian Ring Music Theory
5th mode:
Scale 1807
Scale 1807, Ian Ring Music Theory
6th mode:
Scale 2951
Scale 2951, Ian Ring Music Theory
7th mode:
Scale 3523
Scale 3523, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 239

Scale 239Scale 239, Ian Ring Music Theory

Complement

The heptatonic modal family [3809, 247, 2171, 3133, 1807, 2951, 3523] (Forte: 7-5) is the complement of the pentatonic modal family [143, 481, 2119, 3107, 3601] (Forte: 5-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3809 is 239

Scale 239Scale 239, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3809 is chiral, and its enantiomorph is scale 239

Scale 239Scale 239, Ian Ring Music Theory

Transformations:

T0 3809  T0I 239
T1 3523  T1I 478
T2 2951  T2I 956
T3 1807  T3I 1912
T4 3614  T4I 3824
T5 3133  T5I 3553
T6 2171  T6I 3011
T7 247  T7I 1927
T8 494  T8I 3854
T9 988  T9I 3613
T10 1976  T10I 3131
T11 3952  T11I 2167

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 3811Scale 3811: Epogyllic, Ian Ring Music TheoryEpogyllic
Scale 3813Scale 3813: Aeologyllic, Ian Ring Music TheoryAeologyllic
Scale 3817Scale 3817: Zoryllic, Ian Ring Music TheoryZoryllic
Scale 3825Scale 3825: Pynyllic, Ian Ring Music TheoryPynyllic
Scale 3777Scale 3777, Ian Ring Music Theory
Scale 3793Scale 3793: Aeopian, Ian Ring Music TheoryAeopian
Scale 3745Scale 3745, Ian Ring Music Theory
Scale 3681Scale 3681, Ian Ring Music Theory
Scale 3937Scale 3937, Ian Ring Music Theory
Scale 4065Scale 4065, Ian Ring Music Theory
Scale 3297Scale 3297, Ian Ring Music Theory
Scale 3553Scale 3553, Ian Ring Music Theory
Scale 2785Scale 2785, Ian Ring Music Theory
Scale 1761Scale 1761, 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.