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Scale 2177

Scale 2177, 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

Cardinality3 (tritonic)
Pitch Class Set{0,7,11}
Forte Number3-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 35
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes2
Prime?no
prime: 35
Deep Scaleno
Interval Vector100110
Interval Spectrumpmd
Distribution Spectra<1> = {1,4,7}
<2> = {5,8,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area0.433
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 2177 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 49
Scale 49, Ian Ring Music Theory
3rd mode:
Scale 259
Scale 259, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 35

Scale 35Scale 35, Ian Ring Music Theory

Complement

The tritonic modal family [2177, 49, 259] (Forte: 3-4) is the complement of the nonatonic modal family [959, 2023, 2527, 3059, 3311, 3577, 3703, 3899, 3997] (Forte: 9-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2177 is 35

Scale 35Scale 35, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2177 is chiral, and its enantiomorph is scale 35

Scale 35Scale 35, Ian Ring Music Theory

Transformations:

T0 2177  T0I 35
T1 259  T1I 70
T2 518  T2I 140
T3 1036  T3I 280
T4 2072  T4I 560
T5 49  T5I 1120
T6 98  T6I 2240
T7 196  T7I 385
T8 392  T8I 770
T9 784  T9I 1540
T10 1568  T10I 3080
T11 3136  T11I 2065

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 2179Scale 2179, Ian Ring Music Theory
Scale 2181Scale 2181, Ian Ring Music Theory
Scale 2185Scale 2185: Dygic, Ian Ring Music TheoryDygic
Scale 2193Scale 2193: Thaptic, Ian Ring Music TheoryThaptic
Scale 2209Scale 2209, Ian Ring Music Theory
Scale 2241Scale 2241, Ian Ring Music Theory
Scale 2049Scale 2049, Ian Ring Music Theory
Scale 2113Scale 2113, Ian Ring Music Theory
Scale 2305Scale 2305, Ian Ring Music Theory
Scale 2433Scale 2433, Ian Ring Music Theory
Scale 2689Scale 2689, Ian Ring Music Theory
Scale 3201Scale 3201, Ian Ring Music Theory
Scale 129Scale 129: Niagari, Ian Ring Music TheoryNiagari
Scale 1153Scale 1153, 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.