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Scale 305: "Gonic"

Scale 305: Gonic, 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).

Common Names

Zeitler
Gonic

Analysis

Cardinality4 (tetratonic)
Pitch Class Set{0,4,5,8}
Forte Number4-19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 401
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 275
Deep Scaleno
Interval Vector101310
Interval Spectrumpm3nd
Distribution Spectra<1> = {1,3,4}
<2> = {4,5,7,8}
<3> = {8,9,11}
Spectra Variation2.5
Maximally Evenno
Maximal Area Setno
Interior Area1.616
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
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 Triadsfm{5,8,0}110.5
Augmented TriadsC+{0,4,8}110.5
Parsimonious Voice Leading Between Common Triads of Scale 305. Created by Ian Ring ©2019 C+ C+ fm fm C+->fm

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.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 305 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 275
Scale 275: Dalic, Ian Ring Music TheoryDalicThis is the prime mode
3rd mode:
Scale 2185
Scale 2185: Dygic, Ian Ring Music TheoryDygic
4th mode:
Scale 785
Scale 785: Aeoloric, Ian Ring Music TheoryAeoloric

Prime

The prime form of this scale is Scale 275

Scale 275Scale 275: Dalic, Ian Ring Music TheoryDalic

Complement

The tetratonic modal family [305, 275, 2185, 785] (Forte: 4-19) is the complement of the octatonic modal family [887, 1847, 1907, 2491, 2971, 3001, 3293, 3533] (Forte: 8-19)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 305 is 401

Scale 401Scale 401: Epogic, Ian Ring Music TheoryEpogic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 305 is chiral, and its enantiomorph is scale 401

Scale 401Scale 401: Epogic, Ian Ring Music TheoryEpogic

Transformations:

T0 305  T0I 401
T1 610  T1I 802
T2 1220  T2I 1604
T3 2440  T3I 3208
T4 785  T4I 2321
T5 1570  T5I 547
T6 3140  T6I 1094
T7 2185  T7I 2188
T8 275  T8I 281
T9 550  T9I 562
T10 1100  T10I 1124
T11 2200  T11I 2248

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 307Scale 307: Raga Megharanjani, Ian Ring Music TheoryRaga Megharanjani
Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic
Scale 313Scale 313: Goritonic, Ian Ring Music TheoryGoritonic
Scale 289Scale 289, Ian Ring Music Theory
Scale 297Scale 297: Mynic, Ian Ring Music TheoryMynic
Scale 273Scale 273: Augmented Triad, Ian Ring Music TheoryAugmented Triad
Scale 337Scale 337: Koptic, Ian Ring Music TheoryKoptic
Scale 369Scale 369: Laditonic, Ian Ring Music TheoryLaditonic
Scale 433Scale 433: Raga Zilaf, Ian Ring Music TheoryRaga Zilaf
Scale 49Scale 49, Ian Ring Music Theory
Scale 177Scale 177, Ian Ring Music Theory
Scale 561Scale 561: Phratic, Ian Ring Music TheoryPhratic
Scale 817Scale 817: Zothitonic, Ian Ring Music TheoryZothitonic
Scale 1329Scale 1329: Epygitonic, Ian Ring Music TheoryEpygitonic
Scale 2353Scale 2353: Raga Girija, Ian Ring Music TheoryRaga Girija

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.