Fluid just intonation[idiosyncratic term] is a subtype of adaptive just intonation developed by composer and music theorist Rosie Sheldon in 2021.

She first used it in her piece Microtonal Composition in "Fluid Just Intonation" (composed 2021, published 2022):

Description

Notes are tuned on a chord-by-chord basis.

Each chord contains a common note shared with the previous chord. The tuning of the common note stays exactly the same, and all other notes of the new chord are tuned in pure JI ratios relative to the common note.

The allowed ratios, and how much they differ from their 12edo tempered version, are listed in the following table:

Scale Degree Ratio Tuning adjustment in cents
1 1/1 -
b2 16/15 5
2 9/8 4
b3 6/5 16
3 5/4 -14
4 4/3 -2 (subdominant)
#4/b5 11/8 -49
5 3/2 2
b6 8/5 41
6 5/3 6
b7 7/4 (dom7) -31 (dom7)
9/5 (m7) +18 (m7)
7 15/8 -12
8ve 2/1 -

Subsets and supersets

Fluid just intonation is a subset of 11-limit just intonation.

It is also a subset of the polymicrotonal tuning of (15afdo and 8afdo).

Influences

Sheldon cited Adam Neely’s version of intonalism as the main inspiration behind the concept, with fluid just intonation being like Neely’s style of intonalism, but with the 12edo skeleton removed and replaced with pure JI.

Sheldon also cited Jacob Collier, David Bruce, Dolores Catherino and Sevish as inspirations for the concept of fluid just intonation.