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Scale 617: "Katycritonic"

Scale 617: Katycritonic, 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.

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
Katycritonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,3,5,6,9}
Forte Number5-31
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 713
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 587
Deep Scaleno
Interval Vector114112
Interval Spectrumpmn4sdt2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5,6}
<3> = {6,7,8,9}
<4> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 617 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 589
Scale 589: Ionalitonic, Ian Ring Music TheoryIonalitonic
3rd mode:
Scale 1171
Scale 1171: Raga Manaranjani I, Ian Ring Music TheoryRaga Manaranjani I
4th mode:
Scale 2633
Scale 2633: Mixitonic, Ian Ring Music TheoryMixitonic
5th mode:
Scale 841
Scale 841: Phrothitonic, Ian Ring Music TheoryPhrothitonic

Prime

The prime form of this scale is Scale 587

Scale 587Scale 587: Pathitonic, Ian Ring Music TheoryPathitonic

Complement

The pentatonic modal family [617, 589, 1171, 2633, 841] (Forte: 5-31) is the complement of the heptatonic modal family [731, 1627, 1739, 1753, 2413, 2861, 2917] (Forte: 7-31)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 617 is 713

Scale 713Scale 713: Thoptitonic, Ian Ring Music TheoryThoptitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 617 is chiral, and its enantiomorph is scale 713

Scale 713Scale 713: Thoptitonic, Ian Ring Music TheoryThoptitonic

Transformations:

T0 617  T0I 713
T1 1234  T1I 1426
T2 2468  T2I 2852
T3 841  T3I 1609
T4 1682  T4I 3218
T5 3364  T5I 2341
T6 2633  T6I 587
T7 1171  T7I 1174
T8 2342  T8I 2348
T9 589  T9I 601
T10 1178  T10I 1202
T11 2356  T11I 2404

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 619Scale 619: Double-Phrygian Hexatonic, Ian Ring Music TheoryDouble-Phrygian Hexatonic
Scale 621Scale 621: Pyramid Hexatonic, Ian Ring Music TheoryPyramid Hexatonic
Scale 609Scale 609, Ian Ring Music Theory
Scale 613Scale 613: Phralitonic, Ian Ring Music TheoryPhralitonic
Scale 625Scale 625: Ionyptitonic, Ian Ring Music TheoryIonyptitonic
Scale 633Scale 633: Kydimic, Ian Ring Music TheoryKydimic
Scale 585Scale 585: Diminished Seventh, Ian Ring Music TheoryDiminished Seventh
Scale 601Scale 601: Bycritonic, Ian Ring Music TheoryBycritonic
Scale 553Scale 553: Rothic, Ian Ring Music TheoryRothic
Scale 681Scale 681: Kyemyonjo, Ian Ring Music TheoryKyemyonjo
Scale 745Scale 745: Kolimic, Ian Ring Music TheoryKolimic
Scale 873Scale 873: Bagimic, Ian Ring Music TheoryBagimic
Scale 105Scale 105, Ian Ring Music Theory
Scale 361Scale 361: Bocritonic, Ian Ring Music TheoryBocritonic
Scale 1129Scale 1129: Raga Jayakauns, Ian Ring Music TheoryRaga Jayakauns
Scale 1641Scale 1641: Bocrimic, Ian Ring Music TheoryBocrimic
Scale 2665Scale 2665: Aeradimic, Ian Ring Music TheoryAeradimic

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. Bibliography