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Scale 2917: "Nohkan Flute Scale"

Scale 2917: Nohkan Flute Scale, 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

Unknown / Unsorted
Nohkan Flute Scale
Zeitler
Kocrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,5,6,8,9,11}
Forte Number7-31
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1243
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes6
Prime?no
prime: 731
Deep Scaleno
Interval Vector336333
Interval Spectrump3m3n6s3d3t3
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9}
<6> = {9,10,11}
Spectra Variation1.714
Maximally Evenno
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2917 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1753
Scale 1753: Hungarian Major, Ian Ring Music TheoryHungarian Major
3rd mode:
Scale 731
Scale 731: Ionorian, Ian Ring Music TheoryIonorianThis is the prime mode
4th mode:
Scale 2413
Scale 2413: Locrian Natural 2, Ian Ring Music TheoryLocrian Natural 2
5th mode:
Scale 1627
Scale 1627: Zyptian, Ian Ring Music TheoryZyptian
6th mode:
Scale 2861
Scale 2861: Katothian, Ian Ring Music TheoryKatothian
7th mode:
Scale 1739
Scale 1739: Mela Sadvidhamargini, Ian Ring Music TheoryMela Sadvidhamargini

Prime

The prime form of this scale is Scale 731

Scale 731Scale 731: Ionorian, Ian Ring Music TheoryIonorian

Complement

The heptatonic modal family [2917, 1753, 731, 2413, 1627, 2861, 1739] (Forte: 7-31) is the complement of the pentatonic modal family [587, 601, 713, 1609, 2341] (Forte: 5-31)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2917 is 1243

Scale 1243Scale 1243: Epylian, Ian Ring Music TheoryEpylian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2917 is chiral, and its enantiomorph is scale 1243

Scale 1243Scale 1243: Epylian, Ian Ring Music TheoryEpylian

Transformations:

T0 2917  T0I 1243
T1 1739  T1I 2486
T2 3478  T2I 877
T3 2861  T3I 1754
T4 1627  T4I 3508
T5 3254  T5I 2921
T6 2413  T6I 1747
T7 731  T7I 3494
T8 1462  T8I 2893
T9 2924  T9I 1691
T10 1753  T10I 3382
T11 3506  T11I 2669

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 2919Scale 2919: Molyllic, Ian Ring Music TheoryMolyllic
Scale 2913Scale 2913, Ian Ring Music Theory
Scale 2915Scale 2915: Aeolydian, Ian Ring Music TheoryAeolydian
Scale 2921Scale 2921: Pogian, Ian Ring Music TheoryPogian
Scale 2925Scale 2925: Diminished, Ian Ring Music TheoryDiminished
Scale 2933Scale 2933, Ian Ring Music Theory
Scale 2885Scale 2885: Byrimic, Ian Ring Music TheoryByrimic
Scale 2901Scale 2901: Lydian Augmented, Ian Ring Music TheoryLydian Augmented
Scale 2853Scale 2853: Baptimic, Ian Ring Music TheoryBaptimic
Scale 2981Scale 2981: Ionolian, Ian Ring Music TheoryIonolian
Scale 3045Scale 3045: Raptyllic, Ian Ring Music TheoryRaptyllic
Scale 2661Scale 2661: Stydimic, Ian Ring Music TheoryStydimic
Scale 2789Scale 2789: Zolian, Ian Ring Music TheoryZolian
Scale 2405Scale 2405: Katalimic, Ian Ring Music TheoryKatalimic
Scale 3429Scale 3429: Marian, Ian Ring Music TheoryMarian
Scale 3941Scale 3941: Stathyllic, Ian Ring Music TheoryStathyllic
Scale 869Scale 869: Kothimic, Ian Ring Music TheoryKothimic
Scale 1893Scale 1893: Ionylian, Ian Ring Music TheoryIonylian

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.