I enjoy using b5 kokuyo campus notebooks! They are only 30 pages so I use them up quickly. But you can buy a set of five for $11.96 on Amazon
I'm in the UK.
I was thinking on getting this one: Kokuyo Campus Todai Series Pre-Dotted Notebook - Semi B5 (7" X 9.8") - 6 mm - 35 Lines X 30 Sheets - Pack of 5 Cover Colors https://www.amazon.co.uk/dp/B002C4KL8I/ref=cm_sw_r_cp_awd_Tdsfxb9XX8M2Z
Not exactly dot grid, but they are lines with dots. Great quality paper as well.
I use Kokuyo notebooks. They come in sets of 5 notebooks with 30 pages each, and they're really good with fountain pens and can even handle a bit of flex from a Falcon. Someone realized they're awesome and jacked up the price, but you can usually get them for around $8-9 with Prime shipping. I like Noodler's Air Corps Blue Black; it's almost black but still a nice blue, and it is water-resistant and doesn't feather too much on cheaper paper.
Depends heavily on your goal. Are you writing slowly, or are you writing quickly? Are you using the same paper always in your photo?
The two current top answers (Pilot Juice pens and Fountain pens) are both worthy answers, but it really depends on what your aims. Reading your replies, it appears that you have to write quickly. This also appears to be class notes. So to go over the top answers in more detail:
Pilot Juice Pens - These are good pens. I keep about 10 of them on me at all times, in various different colors. You can get a pack that contains a wide range of colors. The plus of them is that they dry quick, and you can get a really fine line (meaning you can fit more in the same space). From a practical aspect, they are really nice. They do cost a bit more, but last a decent time.
Fountain Pens - These are my preferred method of writing personally, but the ink doesn't dry as fast. If you're trying to write quickly, switch pages a lot, and use awful notebook (like the one pictured), then fountain pens are going to cause issues. They will likely go right through that paper.
So a hybrid solution may be good, and it gets down to overall study habits that I think are important to illustrate. You mention speed, which likely means you're in class. Furthermore, you're probably trying to cram everything the professor/teacher says into this journal. Given your attention to detail, my guess is you don't rewrite these notes afterwards. These are problems, in my view. Humans, unfortunately, tend to forget what they learn from a lecture by about a rate of 40% within the first few hours, and closer to 75% as time goes on. Likely, in the end, forgetting til you review. This is a human condition, everyone has it, including you and I.
A much smarter solution, and one that'll likely cause you less stress, and is a hybrid of the two posted solutions is to split your note taking. For your course notes, use one journal, not multiple. Crappy paper is fine. Don't try to write everything the professor says or talks about. Instead, spend time before class (like the night before), learning material for the upcoming lecture. Use a dedicated journal for each course. Take notes, as detailed as you want. Use different colors, if you want.
During class, your goal is to fill in the missing information. Have your book notes open near you, make sure you understand what you wrote appropriately as the professor explains it. If you got something wrong, or just aren't sure, then write it down in short hand. Essentially answering questions and clarifying what you're learning instead of writing everything down. This will reduce the amount of notes you're taking by a huge amount. Try to use shorthand, be brief and to the point, and be quick. You want to be listening to the information, not transcribing it.
After class, take the two journals and consolidate them. If you built in space (which you should do) in your book notes, basically add to those based off the class's content. Ideally within a few hours after class ends.
The day after that class, briefly review your notes. Again a few days later. It's a cycle of sorts.
Keep in mind though, you likely have a book. Don't duplicate the book in your handwriting, and don't transcribe the lecture. Your notes are a supplement for the course notes. By employing space repetition (SRS), you essentially will never have to study for an exam, and you'll remember the information far past your course's end date with no extra effort.
For your long term notes, try to figure out how you best learn. Some people do well with colors, some people like figures, some people like 'fun' included (Washi Tape, pictures of cats, whatever). Depending on your learning style, these strategies can help. You can see an example of how I approach it here: https://i.imgur.com/zdw4tEh.jpg
For paper, I kinda recommend you treating note taking as a hobby and something 'fun' to invest time into. With that in mind, if you decide to employ Fountain Pens, then using something like a Rhodia journal, or one of my favorites, the 7-seas writer. The picture above is from a Rhodia journal, but I have others - but I use the 7-seas writer quite a bit, as well as Campus journals/notebooks. The Campus notebooks are really nice because you can have really small, individual journals. For example, I use 30-count pages (60 back and forward) for a lot of study. They're small enough that you can fit many in a backpack and keep it light, yet large enough that one journal could last your entire semester in a course. Less wasted paper. https://www.amazon.com/Kokuyo-Campus-Todai-Pre-Dotted-Notebook/dp/B002C4KL8I/ref=sr_1_1?ie=UTF8&qid=1514734697&sr=8-1&keywords=campus+notebook is the one I use the most. The dotted format helps keep things good on the vertical, while the lines keep things good on the horizontal (see the pictures in the amazon link).