The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 1555

Scale 1555, 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{0,1,4,9,10}
Forte Number5-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2317
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 155
Deep Scaleno
Interval Vector213211
Interval Spectrumpm2n3sd2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {3,4,6,8}
<3> = {4,6,8,9}
<4> = {7,9,10,11}
Spectra Variation3.6
Maximally Evenno
Maximal Area Setno
Interior Area1.683
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
Major TriadsA{9,1,4}210.67
Minor Triadsam{9,0,4}121
Diminished Triadsa♯°{10,1,4}121
Parsimonious Voice Leading Between Common Triads of Scale 1555. Created by Ian Ring ©2019 am am A A am->A a#° a#° A->a#°

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter2
Radius1
Self-Centeredno
Central VerticesA
Peripheral Verticesam, a♯°

Modes

Modes are the rotational transformation of this scale. Scale 1555 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2825
Scale 2825, Ian Ring Music Theory
3rd mode:
Scale 865
Scale 865, Ian Ring Music Theory
4th mode:
Scale 155
Scale 155, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 2125
Scale 2125, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 155

Scale 155Scale 155, Ian Ring Music Theory

Complement

The pentatonic modal family [1555, 2825, 865, 155, 2125] (Forte: 5-16) is the complement of the heptatonic modal family [623, 889, 1939, 2359, 3017, 3227, 3661] (Forte: 7-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1555 is 2317

Scale 2317Scale 2317, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1555 is chiral, and its enantiomorph is scale 2317

Scale 2317Scale 2317, Ian Ring Music Theory

Transformations:

T0 1555  T0I 2317
T1 3110  T1I 539
T2 2125  T2I 1078
T3 155  T3I 2156
T4 310  T4I 217
T5 620  T5I 434
T6 1240  T6I 868
T7 2480  T7I 1736
T8 865  T8I 3472
T9 1730  T9I 2849
T10 3460  T10I 1603
T11 2825  T11I 3206

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 1553Scale 1553, Ian Ring Music Theory
Scale 1557Scale 1557, Ian Ring Music Theory
Scale 1559Scale 1559, Ian Ring Music Theory
Scale 1563Scale 1563, Ian Ring Music Theory
Scale 1539Scale 1539, Ian Ring Music Theory
Scale 1547Scale 1547, Ian Ring Music Theory
Scale 1571Scale 1571: Lagitonic, Ian Ring Music TheoryLagitonic
Scale 1587Scale 1587: Raga Rudra Pancama, Ian Ring Music TheoryRaga Rudra Pancama
Scale 1619Scale 1619: Prometheus Neapolitan, Ian Ring Music TheoryPrometheus Neapolitan
Scale 1683Scale 1683: Raga Malayamarutam, Ian Ring Music TheoryRaga Malayamarutam
Scale 1811Scale 1811: Kyptimic, Ian Ring Music TheoryKyptimic
Scale 1043Scale 1043, Ian Ring Music Theory
Scale 1299Scale 1299: Aerophitonic, Ian Ring Music TheoryAerophitonic
Scale 531Scale 531, Ian Ring Music Theory
Scale 2579Scale 2579, Ian Ring Music Theory
Scale 3603Scale 3603, 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. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.