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Scale 1165: "Gycritonic"

Scale 1165: Gycritonic, 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
Gycritonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,3,7,10}
Forte Number5-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1573
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes4
Prime?no
prime: 299
Deep Scaleno
Interval Vector122230
Interval Spectrump3m2n2s2d
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,5,7}
<3> = {5,7,8,9}
<4> = {8,9,10,11}
Spectra Variation2.8
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1165 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1315
Scale 1315: Pyritonic, Ian Ring Music TheoryPyritonic
3rd mode:
Scale 2705
Scale 2705: Raga Mamata, Ian Ring Music TheoryRaga Mamata
4th mode:
Scale 425
Scale 425: Raga Kokil Pancham, Ian Ring Music TheoryRaga Kokil Pancham
5th mode:
Scale 565
Scale 565: Aeolyphritonic, Ian Ring Music TheoryAeolyphritonic

Prime

The prime form of this scale is Scale 299

Scale 299Scale 299: Raga Chitthakarshini, Ian Ring Music TheoryRaga Chitthakarshini

Complement

The pentatonic modal family [1165, 1315, 2705, 425, 565] (Forte: 5-27) is the complement of the heptatonic modal family [695, 1465, 1765, 1835, 2395, 2965, 3245] (Forte: 7-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1165 is 1573

Scale 1573Scale 1573: Raga Guhamanohari, Ian Ring Music TheoryRaga Guhamanohari

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1165 is chiral, and its enantiomorph is scale 1573

Scale 1573Scale 1573: Raga Guhamanohari, Ian Ring Music TheoryRaga Guhamanohari

Transformations:

T0 1165  T0I 1573
T1 2330  T1I 3146
T2 565  T2I 2197
T3 1130  T3I 299
T4 2260  T4I 598
T5 425  T5I 1196
T6 850  T6I 2392
T7 1700  T7I 689
T8 3400  T8I 1378
T9 2705  T9I 2756
T10 1315  T10I 1417
T11 2630  T11I 2834

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 1167Scale 1167: Aerodimic, Ian Ring Music TheoryAerodimic
Scale 1161Scale 1161: Bi Yu, Ian Ring Music TheoryBi Yu
Scale 1163Scale 1163: Raga Rukmangi, Ian Ring Music TheoryRaga Rukmangi
Scale 1157Scale 1157, Ian Ring Music Theory
Scale 1173Scale 1173: Dominant Pentatonic, Ian Ring Music TheoryDominant Pentatonic
Scale 1181Scale 1181: Katagimic, Ian Ring Music TheoryKatagimic
Scale 1197Scale 1197: Minor Hexatonic, Ian Ring Music TheoryMinor Hexatonic
Scale 1229Scale 1229: Raga Simharava, Ian Ring Music TheoryRaga Simharava
Scale 1037Scale 1037: Warao Tetratonic, Ian Ring Music TheoryWarao Tetratonic
Scale 1101Scale 1101: Stothitonic, Ian Ring Music TheoryStothitonic
Scale 1293Scale 1293, Ian Ring Music Theory
Scale 1421Scale 1421: Raga Trimurti, Ian Ring Music TheoryRaga Trimurti
Scale 1677Scale 1677: Raga Manavi, Ian Ring Music TheoryRaga Manavi
Scale 141Scale 141, Ian Ring Music Theory
Scale 653Scale 653: Dorian Pentatonic, Ian Ring Music TheoryDorian Pentatonic
Scale 2189Scale 2189: Zagitonic, Ian Ring Music TheoryZagitonic
Scale 3213Scale 3213: Eponimic, Ian Ring Music TheoryEponimic

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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.