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Scale 899

Scale 899, 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

Cardinality5 (pentatonic)
Pitch Class Set{0,1,7,8,9}
Forte Number5-6
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2105
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes4
Prime?no
prime: 103
Deep Scaleno
Interval Vector311221
Interval Spectrump2m2nsd3t
Distribution Spectra<1> = {1,3,6}
<2> = {2,4,7}
<3> = {5,8,10}
<4> = {6,9,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area1.25
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 899 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2497
Scale 2497, Ian Ring Music Theory
3rd mode:
Scale 103
Scale 103, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2099
Scale 2099: Raga Megharanji, Ian Ring Music TheoryRaga Megharanji
5th mode:
Scale 3097
Scale 3097, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 103

Scale 103Scale 103, Ian Ring Music Theory

Complement

The pentatonic modal family [899, 2497, 103, 2099, 3097] (Forte: 5-6) is the complement of the heptatonic modal family [415, 995, 2255, 2545, 3175, 3635, 3865] (Forte: 7-6)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 899 is 2105

Scale 2105Scale 2105, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 899 is chiral, and its enantiomorph is scale 2105

Scale 2105Scale 2105, Ian Ring Music Theory

Transformations:

T0 899  T0I 2105
T1 1798  T1I 115
T2 3596  T2I 230
T3 3097  T3I 460
T4 2099  T4I 920
T5 103  T5I 1840
T6 206  T6I 3680
T7 412  T7I 3265
T8 824  T8I 2435
T9 1648  T9I 775
T10 3296  T10I 1550
T11 2497  T11I 3100

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 897Scale 897, Ian Ring Music Theory
Scale 901Scale 901, Ian Ring Music Theory
Scale 903Scale 903, Ian Ring Music Theory
Scale 907Scale 907: Tholimic, Ian Ring Music TheoryTholimic
Scale 915Scale 915: Raga Kalagada, Ian Ring Music TheoryRaga Kalagada
Scale 931Scale 931: Raga Kalakanthi, Ian Ring Music TheoryRaga Kalakanthi
Scale 963Scale 963, Ian Ring Music Theory
Scale 771Scale 771, Ian Ring Music Theory
Scale 835Scale 835, Ian Ring Music Theory
Scale 643Scale 643, Ian Ring Music Theory
Scale 387Scale 387, Ian Ring Music Theory
Scale 1411Scale 1411, Ian Ring Music Theory
Scale 1923Scale 1923, Ian Ring Music Theory
Scale 2947Scale 2947, 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, 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.