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Scale 2795: "Van der Horst Octatonic"

Scale 2795: Van der Horst Octatonic, 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

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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

Named After Composers
Van der Horst Octatonic
Western Modern
Locrian Modified
Zeitler
Rogyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,3,5,6,7,9,11}
Forte Number8-25
Rotational Symmetry6 semitones
Reflection Axes0, 3
Palindromicyes
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes3
Prime?no
prime: 1495
Deep Scaleno
Interval Vector464644
Interval Spectrump4m6n4s6d4t4
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {4,5}
<4> = {6}
<5> = {7,8}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1
Maximally Evenno
Maximal Area Setyes
Interior Area2.732
Myhill Propertyno
Balancedyes
Ridge Tones[0,6]
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2795 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 3445
Scale 3445: Messiaen Mode 6 Inverse, Ian Ring Music TheoryMessiaen Mode 6 Inverse
3rd mode:
Scale 1885
Scale 1885: Saptyllic, Ian Ring Music TheorySaptyllic
4th mode:
Scale 1495
Scale 1495: Messiaen Mode 6, Ian Ring Music TheoryMessiaen Mode 6This is the prime mode

Prime

The prime form of this scale is Scale 1495

Scale 1495Scale 1495: Messiaen Mode 6, Ian Ring Music TheoryMessiaen Mode 6

Complement

The octatonic modal family [2795, 3445, 1885, 1495] (Forte: 8-25) is the complement of the tetratonic modal family [325, 1105] (Forte: 4-25)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2795 is itself, because it is a palindromic scale!

Scale 2795Scale 2795: Van der Horst Octatonic, Ian Ring Music TheoryVan der Horst Octatonic

Transformations:

T0 2795  T0I 2795
T1 1495  T1I 1495
T2 2990  T2I 2990
T3 1885  T3I 1885
T4 3770  T4I 3770
T5 3445  T5I 3445
T6 2795  T6I 2795
T7 1495  T7I 1495
T8 2990  T8I 2990
T9 1885  T9I 1885
T10 3770  T10I 3770
T11 3445  T11I 3445

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 2793Scale 2793: Eporian, Ian Ring Music TheoryEporian
Scale 2797Scale 2797: Stalyllic, Ian Ring Music TheoryStalyllic
Scale 2799Scale 2799: Lyryllian, Ian Ring Music TheoryLyryllian
Scale 2787Scale 2787: Zyrian, Ian Ring Music TheoryZyrian
Scale 2791Scale 2791: Mixothyllic, Ian Ring Music TheoryMixothyllic
Scale 2803Scale 2803: Raga Bhatiyar, Ian Ring Music TheoryRaga Bhatiyar
Scale 2811Scale 2811: Barygic, Ian Ring Music TheoryBarygic
Scale 2763Scale 2763: Mela Suvarnangi, Ian Ring Music TheoryMela Suvarnangi
Scale 2779Scale 2779: Shostakovich, Ian Ring Music TheoryShostakovich
Scale 2731Scale 2731: Neapolitan Major, Ian Ring Music TheoryNeapolitan Major
Scale 2667Scale 2667: Byrian, Ian Ring Music TheoryByrian
Scale 2923Scale 2923: Baryllic, Ian Ring Music TheoryBaryllic
Scale 3051Scale 3051: Stalygic, Ian Ring Music TheoryStalygic
Scale 2283Scale 2283: Aeolyptian, Ian Ring Music TheoryAeolyptian
Scale 2539Scale 2539: Half-Diminished Bebop, Ian Ring Music TheoryHalf-Diminished Bebop
Scale 3307Scale 3307: Boptyllic, Ian Ring Music TheoryBoptyllic
Scale 3819Scale 3819: Aeolanygic, Ian Ring Music TheoryAeolanygic
Scale 747Scale 747: Lynian, Ian Ring Music TheoryLynian
Scale 1771Scale 1771, 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.