The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 3265

Scale 3265, 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{0,6,7,10,11}
Forte Number5-6
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 103
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes4
Prime?no
prime: 103
Deep Scaleno
Interval Vector311221
Interval Spectrump2m2nsd3t
Distribution Spectra<1> = {1,3,6}
<2> = {2,4,7}
<3> = {5,8,10}
<4> = {6,9,11}
Spectra Variation4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3265 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 115
Scale 115, Ian Ring Music Theory
3rd mode:
Scale 2105
Scale 2105, Ian Ring Music Theory
4th mode:
Scale 775
Scale 775: Raga Putrika, Ian Ring Music TheoryRaga Putrika
5th mode:
Scale 2435
Scale 2435: Raga Deshgaur, Ian Ring Music TheoryRaga Deshgaur

Prime

The prime form of this scale is Scale 103

Scale 103Scale 103, Ian Ring Music Theory

Complement

The pentatonic modal family [3265, 115, 2105, 775, 2435] (Forte: 5-6) is the complement of the heptatonic modal family [415, 995, 2255, 2545, 3175, 3635, 3865] (Forte: 7-6)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3265 is 103

Scale 103Scale 103, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3265 is chiral, and its enantiomorph is scale 103

Scale 103Scale 103, Ian Ring Music Theory

Transformations:

T0 3265  T0I 103
T1 2435  T1I 206
T2 775  T2I 412
T3 1550  T3I 824
T4 3100  T4I 1648
T5 2105  T5I 3296
T6 115  T6I 2497
T7 230  T7I 899
T8 460  T8I 1798
T9 920  T9I 3596
T10 1840  T10I 3097
T11 3680  T11I 2099

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 3267Scale 3267, Ian Ring Music Theory
Scale 3269Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani
Scale 3273Scale 3273: Raga Jivantini, Ian Ring Music TheoryRaga Jivantini
Scale 3281Scale 3281: Raga Vijayavasanta, Ian Ring Music TheoryRaga Vijayavasanta
Scale 3297Scale 3297, Ian Ring Music Theory
Scale 3201Scale 3201, Ian Ring Music Theory
Scale 3233Scale 3233, Ian Ring Music Theory
Scale 3137Scale 3137, Ian Ring Music Theory
Scale 3393Scale 3393, Ian Ring Music Theory
Scale 3521Scale 3521, Ian Ring Music Theory
Scale 3777Scale 3777, Ian Ring Music Theory
Scale 2241Scale 2241, Ian Ring Music Theory
Scale 2753Scale 2753, Ian Ring Music Theory
Scale 1217Scale 1217, 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.