The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 1035

Scale 1035, 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

Cardinality4 (tetratonic)
Pitch Class Set{0,1,3,10}
Forte Number4-10
Rotational Symmetrynone
Reflection Axes0.5
Palindromicno
Chiralityno
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 45
Deep Scaleno
Interval Vector122010
Interval Spectrumpn2s2d
Distribution Spectra<1> = {1,2,7}
<2> = {3,9}
<3> = {5,10,11}
Spectra Variation4.5
Maximally Evenno
Maximal Area Setno
Interior Area0.866
Myhill Propertyno
Balancedno
Ridge Tones[1]
ProprietyImproper
Heliotonicno

Common Triads

There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.

Modes

Modes are the rotational transformation of this scale. Scale 1035 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 2565
Scale 2565, Ian Ring Music Theory
3rd mode:
Scale 1665
Scale 1665, Ian Ring Music Theory
4th mode:
Scale 45
Scale 45, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 45

Scale 45Scale 45, Ian Ring Music Theory

Complement

The tetratonic modal family [1035, 2565, 1665, 45] (Forte: 4-10) is the complement of the octatonic modal family [765, 1215, 2025, 2655, 3375, 3735, 3915, 4005] (Forte: 8-10)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1035 is 2565

Scale 2565Scale 2565, Ian Ring Music Theory

Transformations:

T0 1035  T0I 2565
T1 2070  T1I 1035
T2 45  T2I 2070
T3 90  T3I 45
T4 180  T4I 90
T5 360  T5I 180
T6 720  T6I 360
T7 1440  T7I 720
T8 2880  T8I 1440
T9 1665  T9I 2880
T10 3330  T10I 1665
T11 2565  T11I 3330

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 1033Scale 1033, Ian Ring Music Theory
Scale 1037Scale 1037: Warao Tetratonic, Ian Ring Music TheoryWarao Tetratonic
Scale 1039Scale 1039, Ian Ring Music Theory
Scale 1027Scale 1027, Ian Ring Music Theory
Scale 1031Scale 1031, Ian Ring Music Theory
Scale 1043Scale 1043, Ian Ring Music Theory
Scale 1051Scale 1051, Ian Ring Music Theory
Scale 1067Scale 1067, Ian Ring Music Theory
Scale 1099Scale 1099: Dyritonic, Ian Ring Music TheoryDyritonic
Scale 1163Scale 1163: Raga Rukmangi, Ian Ring Music TheoryRaga Rukmangi
Scale 1291Scale 1291, Ian Ring Music Theory
Scale 1547Scale 1547, Ian Ring Music Theory
Scale 11Scale 11, Ian Ring Music Theory
Scale 523Scale 523, Ian Ring Music Theory
Scale 2059Scale 2059, Ian Ring Music Theory
Scale 3083Scale 3083, 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.