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Scale 1855: "Gaptygic"

Scale 1855: Gaptygic, 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

Zeitler
Gaptygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,5,8,9,10}
Forte Number9-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3997
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 959
Deep Scaleno
Interval Vector766773
Interval Spectrump7m7n6s6d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1855 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2975
Scale 2975: Aeroptygic, Ian Ring Music TheoryAeroptygic
3rd mode:
Scale 3535
Scale 3535: Mylygic, Ian Ring Music TheoryMylygic
4th mode:
Scale 3815
Scale 3815: Galygic, Ian Ring Music TheoryGalygic
5th mode:
Scale 3955
Scale 3955: Pothygic, Ian Ring Music TheoryPothygic
6th mode:
Scale 4025
Scale 4025: Kalygic, Ian Ring Music TheoryKalygic
7th mode:
Scale 1015
Scale 1015: Ionodygic, Ian Ring Music TheoryIonodygic
8th mode:
Scale 2555
Scale 2555: Bythygic, Ian Ring Music TheoryBythygic
9th mode:
Scale 3325
Scale 3325: Mixolygic, Ian Ring Music TheoryMixolygic

Prime

The prime form of this scale is Scale 959

Scale 959Scale 959: Katylygic, Ian Ring Music TheoryKatylygic

Complement

The nonatonic modal family [1855, 2975, 3535, 3815, 3955, 4025, 1015, 2555, 3325] (Forte: 9-4) is the complement of the tritonic modal family [35, 385, 2065] (Forte: 3-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1855 is 3997

Scale 3997Scale 3997: Dogygic, Ian Ring Music TheoryDogygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1855 is chiral, and its enantiomorph is scale 3997

Scale 3997Scale 3997: Dogygic, Ian Ring Music TheoryDogygic

Transformations:

T0 1855  T0I 3997
T1 3710  T1I 3899
T2 3325  T2I 3703
T3 2555  T3I 3311
T4 1015  T4I 2527
T5 2030  T5I 959
T6 4060  T6I 1918
T7 4025  T7I 3836
T8 3955  T8I 3577
T9 3815  T9I 3059
T10 3535  T10I 2023
T11 2975  T11I 4046

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 1853Scale 1853: Maryllic, Ian Ring Music TheoryMaryllic
Scale 1851Scale 1851: Zacryllic, Ian Ring Music TheoryZacryllic
Scale 1847Scale 1847: Thacryllic, Ian Ring Music TheoryThacryllic
Scale 1839Scale 1839: Zogyllic, Ian Ring Music TheoryZogyllic
Scale 1823Scale 1823: Phralyllic, Ian Ring Music TheoryPhralyllic
Scale 1887Scale 1887: Aerocrygic, Ian Ring Music TheoryAerocrygic
Scale 1919Scale 1919: Rocryllian, Ian Ring Music TheoryRocryllian
Scale 1983Scale 1983: Soryllian, Ian Ring Music TheorySoryllian
Scale 1599Scale 1599: Pocryllic, Ian Ring Music TheoryPocryllic
Scale 1727Scale 1727: Sydygic, Ian Ring Music TheorySydygic
Scale 1343Scale 1343: Zalyllic, Ian Ring Music TheoryZalyllic
Scale 831Scale 831: Rodyllic, Ian Ring Music TheoryRodyllic
Scale 2879Scale 2879: Stadygic, Ian Ring Music TheoryStadygic
Scale 3903Scale 3903: Aeogyllian, Ian Ring Music TheoryAeogyllian

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.