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Scale 1553

Scale 1553, 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{0,4,9,10}
Forte Number4-Z29
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 269
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 139
Deep Scaleno
Interval Vector111111
Interval Spectrumpmnsdt
Distribution Spectra<1> = {1,2,4,5}
<2> = {3,6,9}
<3> = {7,8,10,11}
Spectra Variation3.5
Maximally Evenno
Maximal Area Setno
Interior Area1.366
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 1553 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 353
Scale 353, Ian Ring Music Theory
3rd mode:
Scale 139
Scale 139, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2117
Scale 2117: Raga Sumukam, Ian Ring Music TheoryRaga Sumukam

Prime

The prime form of this scale is Scale 139

Scale 139Scale 139, Ian Ring Music Theory

Complement

The tetratonic modal family [1553, 353, 139, 2117] (Forte: 4-Z29) is the complement of the octatonic modal family [751, 1913, 1943, 2423, 3019, 3259, 3557, 3677] (Forte: 8-Z29)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1553 is 269

Scale 269Scale 269, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1553 is chiral, and its enantiomorph is scale 269

Scale 269Scale 269, Ian Ring Music Theory

Transformations:

T0 1553  T0I 269
T1 3106  T1I 538
T2 2117  T2I 1076
T3 139  T3I 2152
T4 278  T4I 209
T5 556  T5I 418
T6 1112  T6I 836
T7 2224  T7I 1672
T8 353  T8I 3344
T9 706  T9I 2593
T10 1412  T10I 1091
T11 2824  T11I 2182

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 1555Scale 1555, Ian Ring Music Theory
Scale 1557Scale 1557, Ian Ring Music Theory
Scale 1561Scale 1561, Ian Ring Music Theory
Scale 1537Scale 1537, Ian Ring Music Theory
Scale 1545Scale 1545, Ian Ring Music Theory
Scale 1569Scale 1569, Ian Ring Music Theory
Scale 1585Scale 1585: Raga Khamaji Durga, Ian Ring Music TheoryRaga Khamaji Durga
Scale 1617Scale 1617: Phronitonic, Ian Ring Music TheoryPhronitonic
Scale 1681Scale 1681: Raga Valaji, Ian Ring Music TheoryRaga Valaji
Scale 1809Scale 1809: Ranitonic, Ian Ring Music TheoryRanitonic
Scale 1041Scale 1041, Ian Ring Music Theory
Scale 1297Scale 1297: Aeolic, Ian Ring Music TheoryAeolic
Scale 529Scale 529: Raga Bilwadala, Ian Ring Music TheoryRaga Bilwadala
Scale 2577Scale 2577, Ian Ring Music Theory
Scale 3601Scale 3601, 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.