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Scale 3601

Scale 3601, 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{0,4,9,10,11}
Forte Number5-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 271
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes4
Prime?no
prime: 143
Deep Scaleno
Interval Vector321121
Interval Spectrump2mns2d3t
Distribution Spectra<1> = {1,4,5}
<2> = {2,5,6,9}
<3> = {3,6,7,10}
<4> = {7,8,11}
Spectra Variation4.4
Maximally Evenno
Maximal Area Setno
Interior Area1.433
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
Minor Triadsam{9,0,4}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 3601 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 481
Scale 481, Ian Ring Music Theory
3rd mode:
Scale 143
Scale 143, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2119
Scale 2119, Ian Ring Music Theory
5th mode:
Scale 3107
Scale 3107, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 143

Scale 143Scale 143, Ian Ring Music Theory

Complement

The pentatonic modal family [3601, 481, 143, 2119, 3107] (Forte: 5-5) is the complement of the heptatonic modal family [239, 1927, 2167, 3011, 3131, 3553, 3613] (Forte: 7-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3601 is 271

Scale 271Scale 271, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3601 is chiral, and its enantiomorph is scale 271

Scale 271Scale 271, Ian Ring Music Theory

Transformations:

T0 3601  T0I 271
T1 3107  T1I 542
T2 2119  T2I 1084
T3 143  T3I 2168
T4 286  T4I 241
T5 572  T5I 482
T6 1144  T6I 964
T7 2288  T7I 1928
T8 481  T8I 3856
T9 962  T9I 3617
T10 1924  T10I 3139
T11 3848  T11I 2183

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 3603Scale 3603, Ian Ring Music Theory
Scale 3605Scale 3605, Ian Ring Music Theory
Scale 3609Scale 3609, Ian Ring Music Theory
Scale 3585Scale 3585, Ian Ring Music Theory
Scale 3593Scale 3593, Ian Ring Music Theory
Scale 3617Scale 3617, Ian Ring Music Theory
Scale 3633Scale 3633: Daptimic, Ian Ring Music TheoryDaptimic
Scale 3665Scale 3665: Stalimic, Ian Ring Music TheoryStalimic
Scale 3729Scale 3729: Starimic, Ian Ring Music TheoryStarimic
Scale 3857Scale 3857: Ponimic, Ian Ring Music TheoryPonimic
Scale 3089Scale 3089, Ian Ring Music Theory
Scale 3345Scale 3345: Zylitonic, Ian Ring Music TheoryZylitonic
Scale 2577Scale 2577, Ian Ring Music Theory
Scale 1553Scale 1553, 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. Special thanks to Richard Repp for helping with technical accuracy.