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Scale 1345

Scale 1345, 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

Cardinality4 (tetratonic)
Pitch Class Set{0,6,8,10}
Forte Number4-21
Rotational Symmetrynone
Reflection Axes3
Palindromicno
Chiralityno
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes3
Prime?no
prime: 85
Deep Scaleno
Interval Vector030201
Interval Spectrumm2s3t
Distribution Spectra<1> = {2,6}
<2> = {4,8}
<3> = {6,10}
Spectra Variation3
Maximally Evenno
Maximal Area Setno
Interior Area1.299
Myhill Propertyyes
Balancedno
Ridge Tones[6]
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 1345 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 85
Scale 85, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 1045
Scale 1045, Ian Ring Music Theory
4th mode:
Scale 1285
Scale 1285, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 85

Scale 85Scale 85, Ian Ring Music Theory

Complement

The tetratonic modal family [1345, 85, 1045, 1285] (Forte: 4-21) is the complement of the octatonic modal family [1375, 1405, 1525, 2005, 2735, 3415, 3755, 3925] (Forte: 8-21)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1345 is 85

Scale 85Scale 85, Ian Ring Music Theory

Transformations:

T0 1345  T0I 85
T1 2690  T1I 170
T2 1285  T2I 340
T3 2570  T3I 680
T4 1045  T4I 1360
T5 2090  T5I 2720
T6 85  T6I 1345
T7 170  T7I 2690
T8 340  T8I 1285
T9 680  T9I 2570
T10 1360  T10I 1045
T11 2720  T11I 2090

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 1347Scale 1347, Ian Ring Music Theory
Scale 1349Scale 1349: Tholitonic, Ian Ring Music TheoryTholitonic
Scale 1353Scale 1353: Raga Harikauns, Ian Ring Music TheoryRaga Harikauns
Scale 1361Scale 1361: Bolitonic, Ian Ring Music TheoryBolitonic
Scale 1377Scale 1377, Ian Ring Music Theory
Scale 1281Scale 1281, Ian Ring Music Theory
Scale 1313Scale 1313, Ian Ring Music Theory
Scale 1409Scale 1409, Ian Ring Music Theory
Scale 1473Scale 1473, Ian Ring Music Theory
Scale 1089Scale 1089, Ian Ring Music Theory
Scale 1217Scale 1217, Ian Ring Music Theory
Scale 1601Scale 1601, Ian Ring Music Theory
Scale 1857Scale 1857, Ian Ring Music Theory
Scale 321Scale 321, Ian Ring Music Theory
Scale 833Scale 833, Ian Ring Music Theory
Scale 2369Scale 2369, Ian Ring Music Theory
Scale 3393Scale 3393, 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.