Hadn't wanted to double-post, but this one
finally reached a postable form, I think:
Grimoire-4: Current year 1997, PoD prior to 1967; TL(7+1)^. This worldline appears to be another former historical echo of
Grimoire-1, having apparently diverged during the 1960s, when some hippies learned magic who probably didn't on the base worldline. Acts of magic were first publicly demonstrated by various hippies in 1967, most famously during the
March on the Pentagon (though the Pentagon did not levitate, and had no demons in it in the first place, the exterior did turn orange, and the building shook slightly); this failed to end the war in Viet Nam. The main effect of it was the government and the military trying to find out how they did it, and often not being polite about it. Some of the hippies, and some of their teachers, did decide to give the government some limited information on magic, in one case offering to teach Army medical personnel the Book of Asklepios, which mainly concerns healing rituals and dealing with serpents and snake-spirits. Later attempts to exorcise Congress and the White House (authorized and observed by the military and the President) likewise found no demons; many hippies reluctantly accepted that most politicians are evil all on their own, no need for possession (which is not the lesson that the politicians wanted them to learn).
With the secret out, it wasn't long before other mages, not associated with the hippie movement, made deals with various governments throughout the world. In early December 1967, in South Viet Nam, a group of traditional shamans who didn't trust communism spoke at length with Nguyen Van Thieu and others in his government, and were able to get a number of reforms passed as part of a deal for their help against the North. The Soviet Union and Peoples Republic of China developed, with the help of a number of odd individuals (including a man claiming and appearing to be 'the immortal
Grigori Rasputin'), a form of 'scientific' Book magic, which of course they did not
call magic - it was referred to as 'psionics' or 'psychotronics' (though the Cabal and Infinity are in agreement that it is still magic, just with modified styles), something that was not uncommon among the scientific community in the West. Because of the political necessity of avoiding the appearance of mysticism in public, and thus the need to rework (or invent) any Book style that they wanted to use publicly, the USSR and PRC lagged significantly behind other nations in the spread of magic, though their intelligence agencies and top secret research establishments were somewhat closer. The most common core skills for the Soviet 'psionic' Book styles are forms of Autohypnosis and Mathematics, as well as in a few cases Engineer (Soviet Thaumatronics) - an odd form of Engineer (Electronics) that has Symbol Drawing (Soviet Esoterica) as a prerequisite; the former defaults to other 'thaumatronics' styles at levels ranging from -1 to -6, and the latter defaults to Symbol Drawing (Futhark)-4. Similar styles were developed in the West, with electronic ('thaumatronics') and mechanical ritual styles often having a form of Symbol Drawing as a prerequisite and/or complementary skill. A few Book and Path styles use Symbol Drawing as the core skill (though they otherwise remain Path/Book styles).
In a number of East Asian nations, Book styles (multiple Book, in rare cases like Kalaripayit) based on existing martial arts styles became known. This prompted the PRC to develop a Book style based on
state Wushu; once it worked, many other nations followed suit, whether with native styles (like Savate & French Smallsword in France, or Krav Maga in Israel), or adaptations of foreign styles (Karate, Judo, and Kung Fu were fairly popular in America in the 1970s, for example). In most cases, the core skill of the magical style is either Meditation, the Art form of one of the required combat skills of the martial style (usually Karate Art or Judo Art), or sometimes a less combative required or optional skill like Philosophy or Breath Control.
Over the course of the late 1960s and the 1970s, instruction in magic became common on college campuses all over the world, albeit more slowly in communist countries and some of the more religiously conservative Muslim and Christian nations (others taught magical styles based on the
mysticism of their preferred faith, or even with Religious Ritual as the core skill). By the end of the 1980s, high schools and some middle or junior high schools have Introduction to Thaumaturgy classes or similar. About 50-60% of magical styles on this Earth are single-Book styles; less than 10%, total, are Path styles, all dating from 1985 or later.
In terms of technology, this Earth is a bit off from what would be expected by someone familiar with Homeline in the 1990s, looking almost like what someone from 1967 might think 'the world of thirty years from now' should look... but not quite: Flying cars and jetpacks exist, but are limited to the rich (and to magicians and friends thereof); the flying cars require a pilot's license and are expected to take off and land at airports outside of emergencies, though the jetpacks are considered ultralights or microlights. Magic fusion reactors are fairly new at this point, but expected to take off well, and petroleum prices are falling as a side effect (which does not make OPEC happy). Cellular phones have yet to take off, but pay phones and many car, home, or office phones have fax, e-mail, and video options. Bionics limbs and other organs (nearly all mana-dependant) are roughly equivalent to early TL9^, with very expensive examples equivalent to higher TLs. Attempts to regrow organs with magic have met with only limited success, however. A number of subcultures have arisen that make use of magic and cybertechnology to look like beings from fantasy or science fiction. Depending on how you look at it and where you are, the technological aesthetic of this world is largely
Formicapunk (WARNING: tropes site link), with elements of low-level cyberpunk &
cyber noir in poor or high-crime areas (including whole cities in some third-world countries), and low-level
cyberprep in middle-class and wealthy areas.