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Scale 1217

Scale 1217, 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

Cardinality4 (tetratonic)
Pitch Class Set{0,6,7,10}
Forte Number4-Z15
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 101
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 83
Deep Scaleno
Interval Vector111111
Interval Spectrumpmnsdt
Distribution Spectra<1> = {1,2,3,6}
<2> = {4,5,7,8}
<3> = {6,9,10,11}
Spectra Variation3.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1217 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 83
Scale 83, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2089
Scale 2089, Ian Ring Music Theory
4th mode:
Scale 773
Scale 773, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 83

Scale 83Scale 83, Ian Ring Music Theory

Complement

The tetratonic modal family [1217, 83, 2089, 773] (Forte: 4-Z15) is the complement of the octatonic modal family [863, 1523, 1997, 2479, 2809, 3287, 3691, 3893] (Forte: 8-Z15)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1217 is 101

Scale 101Scale 101, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1217 is chiral, and its enantiomorph is scale 101

Scale 101Scale 101, Ian Ring Music Theory

Transformations:

T0 1217  T0I 101
T1 2434  T1I 202
T2 773  T2I 404
T3 1546  T3I 808
T4 3092  T4I 1616
T5 2089  T5I 3232
T6 83  T6I 2369
T7 166  T7I 643
T8 332  T8I 1286
T9 664  T9I 2572
T10 1328  T10I 1049
T11 2656  T11I 2098

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 1219Scale 1219, Ian Ring Music Theory
Scale 1221Scale 1221: Epyritonic, Ian Ring Music TheoryEpyritonic
Scale 1225Scale 1225: Raga Samudhra Priya, Ian Ring Music TheoryRaga Samudhra Priya
Scale 1233Scale 1233: Ionoditonic, Ian Ring Music TheoryIonoditonic
Scale 1249Scale 1249, Ian Ring Music Theory
Scale 1153Scale 1153, Ian Ring Music Theory
Scale 1185Scale 1185: Genus Primum Inverse, Ian Ring Music TheoryGenus Primum Inverse
Scale 1089Scale 1089, Ian Ring Music Theory
Scale 1345Scale 1345, Ian Ring Music Theory
Scale 1473Scale 1473, Ian Ring Music Theory
Scale 1729Scale 1729, Ian Ring Music Theory
Scale 193Scale 193: Raga Ongkari, Ian Ring Music TheoryRaga Ongkari
Scale 705Scale 705, Ian Ring Music Theory
Scale 2241Scale 2241, Ian Ring Music Theory
Scale 3265Scale 3265, 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.