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Scale 449

Scale 449, 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{0,6,7,8}
Forte Number4-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 113
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes3
Prime?no
prime: 71
Deep Scaleno
Interval Vector210111
Interval Spectrumpmsd2t
Distribution Spectra<1> = {1,4,6}
<2> = {2,5,7,10}
<3> = {6,8,11}
Spectra Variation4.5
Maximally Evenno
Maximal Area Setno
Interior Area0.933
Myhill Propertyno
Balancedno
Ridge Tonesnone
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 449 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 71
Scale 71, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2083
Scale 2083, Ian Ring Music Theory
4th mode:
Scale 3089
Scale 3089, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 71

Scale 71Scale 71, Ian Ring Music Theory

Complement

The tetratonic modal family [449, 71, 2083, 3089] (Forte: 4-5) is the complement of the octatonic modal family [479, 1991, 2287, 3043, 3191, 3569, 3643, 3869] (Forte: 8-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 449 is 113

Scale 113Scale 113, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 449 is chiral, and its enantiomorph is scale 113

Scale 113Scale 113, Ian Ring Music Theory

Transformations:

T0 449  T0I 113
T1 898  T1I 226
T2 1796  T2I 452
T3 3592  T3I 904
T4 3089  T4I 1808
T5 2083  T5I 3616
T6 71  T6I 3137
T7 142  T7I 2179
T8 284  T8I 263
T9 568  T9I 526
T10 1136  T10I 1052
T11 2272  T11I 2104

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 451Scale 451: Raga Saugandhini, Ian Ring Music TheoryRaga Saugandhini
Scale 453Scale 453: Raditonic, Ian Ring Music TheoryRaditonic
Scale 457Scale 457: Staptitonic, Ian Ring Music TheoryStaptitonic
Scale 465Scale 465: Zoditonic, Ian Ring Music TheoryZoditonic
Scale 481Scale 481, Ian Ring Music Theory
Scale 385Scale 385, Ian Ring Music Theory
Scale 417Scale 417, Ian Ring Music Theory
Scale 321Scale 321, Ian Ring Music Theory
Scale 193Scale 193: Raga Ongkari, Ian Ring Music TheoryRaga Ongkari
Scale 705Scale 705, Ian Ring Music Theory
Scale 961Scale 961, Ian Ring Music Theory
Scale 1473Scale 1473, Ian Ring Music Theory
Scale 2497Scale 2497, 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.