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Scale 1795

Scale 1795, 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{0,1,8,9,10}
Forte Number5-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2077
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes4
Prime?no
prime: 55
Deep Scaleno
Interval Vector322210
Interval Spectrumpm2n2s2d3
Distribution Spectra<1> = {1,2,7}
<2> = {2,3,8}
<3> = {4,9,10}
<4> = {5,10,11}
Spectra Variation4.8
Maximally Evenno
Maximal Area Setno
Interior Area0.933
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.

Modes

Modes are the rotational transformation of this scale. Scale 1795 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2945
Scale 2945, Ian Ring Music Theory
3rd mode:
Scale 55
Scale 55, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2075
Scale 2075, Ian Ring Music Theory
5th mode:
Scale 3085
Scale 3085, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 55

Scale 55Scale 55, Ian Ring Music Theory

Complement

The pentatonic modal family [1795, 2945, 55, 2075, 3085] (Forte: 5-3) is the complement of the heptatonic modal family [319, 1009, 2207, 3151, 3623, 3859, 3977] (Forte: 7-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1795 is 2077

Scale 2077Scale 2077, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1795 is chiral, and its enantiomorph is scale 2077

Scale 2077Scale 2077, Ian Ring Music Theory

Transformations:

T0 1795  T0I 2077
T1 3590  T1I 59
T2 3085  T2I 118
T3 2075  T3I 236
T4 55  T4I 472
T5 110  T5I 944
T6 220  T6I 1888
T7 440  T7I 3776
T8 880  T8I 3457
T9 1760  T9I 2819
T10 3520  T10I 1543
T11 2945  T11I 3086

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 1793Scale 1793, Ian Ring Music Theory
Scale 1797Scale 1797, Ian Ring Music Theory
Scale 1799Scale 1799, Ian Ring Music Theory
Scale 1803Scale 1803, Ian Ring Music Theory
Scale 1811Scale 1811: Kyptimic, Ian Ring Music TheoryKyptimic
Scale 1827Scale 1827: Katygimic, Ian Ring Music TheoryKatygimic
Scale 1859Scale 1859, Ian Ring Music Theory
Scale 1923Scale 1923, Ian Ring Music Theory
Scale 1539Scale 1539, Ian Ring Music Theory
Scale 1667Scale 1667, Ian Ring Music Theory
Scale 1283Scale 1283, Ian Ring Music Theory
Scale 771Scale 771, Ian Ring Music Theory
Scale 2819Scale 2819, Ian Ring Music Theory
Scale 3843Scale 3843, 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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.