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Scale 3677

Scale 3677, 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

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,4,6,9,10,11}
Forte Number8-Z29
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1871
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes7
Prime?no
prime: 751
Deep Scaleno
Interval Vector555553
Interval Spectrump5m5n5s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {5,6,7}
<5> = {6,7,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.25
Maximally Evenno
Maximal Area Setno
Interior Area2.616
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3677 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1943
Scale 1943, Ian Ring Music Theory
3rd mode:
Scale 3019
Scale 3019, Ian Ring Music Theory
4th mode:
Scale 3557
Scale 3557, Ian Ring Music Theory
5th mode:
Scale 1913
Scale 1913, Ian Ring Music Theory
6th mode:
Scale 751
Scale 751, Ian Ring Music TheoryThis is the prime mode
7th mode:
Scale 2423
Scale 2423, Ian Ring Music Theory
8th mode:
Scale 3259
Scale 3259, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 751

Scale 751Scale 751, Ian Ring Music Theory

Complement

The octatonic modal family [3677, 1943, 3019, 3557, 1913, 751, 2423, 3259] (Forte: 8-Z29) is the complement of the tetratonic modal family [139, 353, 1553, 2117] (Forte: 4-Z29)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3677 is 1871

Scale 1871Scale 1871: Aeolyllic, Ian Ring Music TheoryAeolyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3677 is chiral, and its enantiomorph is scale 1871

Scale 1871Scale 1871: Aeolyllic, Ian Ring Music TheoryAeolyllic

Transformations:

T0 3677  T0I 1871
T1 3259  T1I 3742
T2 2423  T2I 3389
T3 751  T3I 2683
T4 1502  T4I 1271
T5 3004  T5I 2542
T6 1913  T6I 989
T7 3826  T7I 1978
T8 3557  T8I 3956
T9 3019  T9I 3817
T10 1943  T10I 3539
T11 3886  T11I 2983

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 3679Scale 3679: Rycrygic, Ian Ring Music TheoryRycrygic
Scale 3673Scale 3673: Ranian, Ian Ring Music TheoryRanian
Scale 3675Scale 3675: Monyllic, Ian Ring Music TheoryMonyllic
Scale 3669Scale 3669: Mothian, Ian Ring Music TheoryMothian
Scale 3661Scale 3661: Mixodorian, Ian Ring Music TheoryMixodorian
Scale 3693Scale 3693: Stadyllic, Ian Ring Music TheoryStadyllic
Scale 3709Scale 3709: Katynygic, Ian Ring Music TheoryKatynygic
Scale 3613Scale 3613, Ian Ring Music Theory
Scale 3645Scale 3645: Zycryllic, Ian Ring Music TheoryZycryllic
Scale 3741Scale 3741: Zydyllic, Ian Ring Music TheoryZydyllic
Scale 3805Scale 3805: Moptygic, Ian Ring Music TheoryMoptygic
Scale 3933Scale 3933: Ionidygic, Ian Ring Music TheoryIonidygic
Scale 3165Scale 3165: Mylian, Ian Ring Music TheoryMylian
Scale 3421Scale 3421: Aerothyllic, Ian Ring Music TheoryAerothyllic
Scale 2653Scale 2653: Sygian, Ian Ring Music TheorySygian
Scale 1629Scale 1629: Synian, Ian Ring Music TheorySynian

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.