How was the twelfth root of two calculated?

So I've been looking up some stuff, especially stuff linking music and math, and I found something quite interesting about the twelfth root of two, which was important in the development of equal step tuning, for pianos.

However, what I've been unable to find is how they calculated the value of the twelfth root back in the 1600s, where Mersenne and a Chinese mathematician (can't quite remember the name) where able to approximate/find it's value.

Does anyone know how they calculated its value?

Edit: I'd also like to add that some articles mentioned that the methods they use became obsolete once better techniques to calculate logarithms were developed. Can anyone shed some light on what that actually means?

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πŸ“…︎ Dec 10 2015
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Root Two Series: Twelfth Root, Neutral Voicing, One Clear Note - Mark A. Reynolds
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A two year-old girl fell from the twelfth floor of a building in VietNam and got rescued by a man. The girl was fortunately saved and only got some bones broken.
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So season one of Trash Taste is over now that we have had the twelfth episode and an OVA, but what is season two going to be called?
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My version of the Twelfth Doctor playing bass-guitar, Watercolor, about two years ago
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Twelfth Declaration of James T. Christy, Assistant Director for Field Operations.Case 5:20-cv-05799-LHK Filed 10/05/20. National Urban League v. Wilbur Ross. "order compels Defendants’ response to two email submissions: one from an Enumerator in OK and one from a Census Field Supervisor in AK." courtlistener.com/recap/g…
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[Robb] Brad Stevens to @ZoandBertrand on Celtics recent struggles: "I was just telling my wife, 'I had a root canal and my identity stolen last week and I think those were two of my better days in the last eight days.'"

Tweet >Brad Stevens to @ZoandBertrand on Celtics recent struggles: "I was just telling my wife, 'I had a root canal and my identity stolen last week and I think those were two of my better days in the last eight days.'"

 

[Robb] >Brad Stevens explaining his identity theft issues to @hardy985 and @Marc_Bertrand last week: "It was the real stuff. People were trying to open up cards and all this stuff. Calling Target, like I would have a lot of interest in opening up a Target card right now in this stretch."

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Roughly two years in between crossdressing with cheap pink wigs until today. Word of advice. Do not bleach your hair at home! See a professional, my roots are fucked!
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Washington D.C. ska punks Kill Lincoln are the next in line for a track release from The Shape of Ska Punk to Come Volume II. Their track,"Misaligned," is the twelfth track from the album, with e... Click link to read more... #bad_time_records #badtimerecords #kill_lincoln #killlincolndc #... thatsgoodenoughforme.com/…
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Looking to get rid of three vines of Cebu Blue Pothos. Two have pretty good root systems and the left one has began rooting further up the vine - would be great for propping. ISO in comments!
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Nature throwing surprises again. Thought for sure cup number two was a goner: Karen the cat knocked it over, spilling half the soil and fragile tap root-exposed seed, about 10 minutes after transplanting from the paper towel. Alaskan Thunderfuck from Crop King is underway! (Bonus pic of cat) reddit.com/gallery/p7hzub
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A tale of two MacCauley McKinney's heading up to the Twelfth twitter.com/MacSiacais/st…
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Do either of my two orchids look like they have root rot or pests? Is this browning something to be concerned about? reddit.com/gallery/nfbhb1
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πŸ‘€︎ u/haxan_
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If his lifesteal was nerfed he'll be awful to play. He roots himself with two of his abilities. Best thing to do is a rework imo.
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I got this peperomia rosso this weekend and I was just cropping off some of the dead leaves and noticed these two weren't connected to the soil. They barely have roots, can I just repot them or are they goners?
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πŸ‘€︎ u/Autumn_Asylum
πŸ“…︎ Sep 15 2021
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I have this struggling pothos I’ve been trying to grow in just water. I used to have one that thrived like this but this guy will grow two or three leaves and that’s it. Right now it’s look especially sad. It has lots of long roots though. Should I plant it in dirt? Any other suggestions?
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πŸ‘€︎ u/imadorkette
πŸ“…︎ Aug 02 2021
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[Robb] Brad Stevens to @ZoandBertrand on Celtics recent struggles: "I was just telling my wife, 'I had a root canal and my identity stolen last week and I think those were two of my better days in the last eight days.'" twitter.com/BrianTRobb/st…
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DRAMA QUEEN ALERT! this big boned pasilla Bajio lass was all but ready for a fainting couch after a hot two days with no rain. The second picture is an hour and a half after a cold drink of water right on the root zone. Ma’am I think you have a predilection to drama! reddit.com/gallery/o3fysm
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πŸ‘€︎ u/bin-fryin
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My Pix Zee peach tree died from a hard freeze two winters ago and is now coming up from the root stock. Does anyone know what to expect from this rootstock plant? Will it make some kind of fruit? Will it still be a dwarf tree? Should I see what happens or pull it up and plant something else... reddit.com/gallery/neijmu
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πŸ‘€︎ u/amberino_jalapeno
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Could I combine two monsteras in one pot? They are both currently in 8 and 9 inch pots, one is definitely needing to go in a larger pot. What size should I go giving them room to go but less chance of root rot?
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πŸ“…︎ Aug 09 2021
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Since my last post two months ago she has sprung a new leaf and two new roots. Spray fertilizer once a week, sips of water along with a rocky bowl of water, and bright indirect light, peat moss/bark mix and the right pot did the trick. Thanks for all the tips. reddit.com/gallery/npcbvp
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Most european languages' word for "beach" apparently falls into one of two categories: (s)tra(n)- and p(l/r)a(zh). What are the roots for these groups of words and was there some kind of tea/cha sort of division or did this happened completely organically? indifferentlanguages.com/…
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πŸ“…︎ Jul 12 2021
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This was probably one of the most challenging repottings of my life. If I never have to repot this again, I’d rejoice. Planted two together, mine and my late friend’s... hoping they don’t die!! 😳 I haven’t a clue if all the roots are covered or not.
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This might be unpopular, but am I the only one who roots for these two, because their verbal exchange is so damn entertaining.
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I just repotted some of cacti, they have a very poor root system (very small root ball) should I leave them out of direct sunlight for a week or two?
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Help with these orchids! I had gotten two orchids from Home Depot and they were in bad condition. Today, these were the only roots that were left ok. The bottom of the stem of both of them looks black-ish. The leaves are fine and healthy though. What can I do to save these/encourage root growth? reddit.com/gallery/nltkxv
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πŸ‘€︎ u/hocmm
πŸ“…︎ May 26 2021
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A Root in Synapsis and the Other One in the Gut Microbiome-Brain Axis: Are the Two Poles of Ketogenic Diet Enough to Challenge Glioblastoma? (Full text)

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8378133/

A Root in Synapsis and the Other One in the Gut Microbiome-Brain Axis: Are the Two Poles of Ketogenic Diet Enough to Challenge Glioblastoma?

Liliana Montella, Federica Sarno, [...], and Gaetano Facchini

Additional article information

Abstract

Glioblastoma is the most frequent and aggressive brain cancer in adults. While precision medicine in oncology has produced remarkable progress in several malignancies, treatment of glioblastoma has still limited available options and a dismal prognosis. After first-line treatment with surgery followed by radiochemotherapy based on the 2005 STUPP trial, no significant therapeutic advancements have been registered. While waiting that genomic characterization moves from a prognostic/predictive value into therapeutic applications, practical and easy-to-use approaches are eagerly awaited. Medical reports on the role of the ketogenic diet in adult neurological disorders and in glioblastoma suggest that nutritional interventions may condition outcomes and be associated with standard therapies. The acceptable macronutrient distribution of daily calories in a regular diet are 45–65% of daily calories from carbohydrates, 20–35% from fats, and 10–35% from protein. Basically, the ketogenic diet follows an approach based on low carbohydrates/high fat intake. In carbohydrates starvation, body energy derives from fat storage which is used to produce ketones and act as glucose surrogates. The ketogenic diet has several effects: metabolic interference with glucose and insulin and IGF-1 pathways, influence on neurotransmission, reduction of oxidative stress and inflammation, direct effect on gene expression through epigenetic mechanisms. Apart from these central effects working at the synapsis level, recent evidence also suggests a role for microbiome and gut-brain axis induced by a ketogenic diet. This review focuses on rationales supporting the ketogenic diet and clinical studies will be reported, looking at future possible perspectives.

Keywords: glioblastoma, ketogenic diet, gut-brain axis, microbiota, warburg effect

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πŸ“…︎ Aug 24 2021
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Please help! Sentimental clippings of Elephant Bush are struggling, it’s been 2 months. Already lost two clippings. Pulled these ones out of soil to reveal no roots! Planning to keep in shallow water for a while... thoughts?!
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How do you go all the way to Nigeria to meet your boyfriend of two years and not get your roots done beforehand???
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MRW I make my twelfth online order in two weeks.
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πŸ“…︎ May 14 2021
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Pink moonstones finally showing some roots! I got two moonstones from an online shop that arrived showing signs of rot. I tried to save the tops, but wasn't quick enough and just took the healthiest looking leaves. Didn't think these leaves would actually progress, but two weeks later and...YES!
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πŸ“…︎ Apr 12 2021
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πŸ“…︎ Jun 01 2021
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Help! I’m February i took propagations from this triostar mother plant and they are flourishing but this one got stuck and got out only two weak leaves. most of the roots are brown and breaking. how should I treat it reddit.com/gallery/nbaw68
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It’s only been two weeks since I picked this up and stuck it in a pot of soil and there’s roots growing! Hoping I’ll get some babies from it eventually 🀞
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πŸ“…︎ May 04 2021
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My very first peduncle!! I got two cuttings of a carnosa back in 2018 from a local hiking shop, it took forever to root then exploded with growth. So many beautiful leaves, but never bloomed. Imagine my surprise when I noticed this today!
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How do I go about separating the roots of my two pumpkin plants?

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