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Scale 271

Scale 271, 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{0,1,2,3,8}
Forte Number5-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3601
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes4
Prime?no
prime: 143
Deep Scaleno
Interval Vector321121
Interval Spectrump2mns2d3t
Distribution Spectra<1> = {1,4,5}
<2> = {2,5,6,9}
<3> = {3,6,7,10}
<4> = {7,8,11}
Spectra Variation4.4
Maximally Evenno
Maximal Area Setno
Interior Area1.433
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 TriadsG♯{8,0,3}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 271 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2183
Scale 2183, Ian Ring Music Theory
3rd mode:
Scale 3139
Scale 3139, Ian Ring Music Theory
4th mode:
Scale 3617
Scale 3617, Ian Ring Music Theory
5th mode:
Scale 241
Scale 241, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 143

Scale 143Scale 143, Ian Ring Music Theory

Complement

The pentatonic modal family [271, 2183, 3139, 3617, 241] (Forte: 5-5) is the complement of the heptatonic modal family [239, 1927, 2167, 3011, 3131, 3553, 3613] (Forte: 7-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 271 is 3601

Scale 3601Scale 3601, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 271 is chiral, and its enantiomorph is scale 3601

Scale 3601Scale 3601, Ian Ring Music Theory

Transformations:

T0 271  T0I 3601
T1 542  T1I 3107
T2 1084  T2I 2119
T3 2168  T3I 143
T4 241  T4I 286
T5 482  T5I 572
T6 964  T6I 1144
T7 1928  T7I 2288
T8 3856  T8I 481
T9 3617  T9I 962
T10 3139  T10I 1924
T11 2183  T11I 3848

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 269Scale 269, Ian Ring Music Theory
Scale 267Scale 267, Ian Ring Music Theory
Scale 263Scale 263, Ian Ring Music Theory
Scale 279Scale 279: Poditonic, Ian Ring Music TheoryPoditonic
Scale 287Scale 287: Gynimic, Ian Ring Music TheoryGynimic
Scale 303Scale 303: Golimic, Ian Ring Music TheoryGolimic
Scale 335Scale 335: Zanimic, Ian Ring Music TheoryZanimic
Scale 399Scale 399: Zynimic, Ian Ring Music TheoryZynimic
Scale 15Scale 15, Ian Ring Music Theory
Scale 143Scale 143, Ian Ring Music Theory
Scale 527Scale 527, Ian Ring Music Theory
Scale 783Scale 783, Ian Ring Music Theory
Scale 1295Scale 1295, Ian Ring Music Theory
Scale 2319Scale 2319, 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.