Not only the six-colored, but also the seven-colored gay rainbow flags may have the "unordered" patterns. One such flag was hoisted at the building of Extremadura regional government, in the city of Badajoz, Spain, in June 2014, just before the International LGBT Pride Day, as reported
here
and here. On this flag, violet and blue have had the places swapped and
turquoise was more like the sky blue. Having had seven stripes, just like the Inca flag, the flag was mistaken for it in the
news reports, but when compared with the six-colored flag, it was
compared with an "unordered" variant. However, the use of seven-colored gay rainbow flags is not unknown to Spain, as they were used at the
Madrid Pride / Europride 2007 and this "unordered" flag is clearly another one, not an Inca flag. Tomislav Todorović, 5 October 2014
image by Tomislav Todorović, 5 October 2014
An earlier example of the use of such flags is from the Taiwan Pride 2005. There, the pattern was: blue, turquoise, violet, green, yellow, orange, red. This is the same pattern as one of the most common variants of Italian peace flag but this flag's transparency in the photo reveals that there seems to be no inscription, so it is clearly another gay rainbow flag. Tomislav Todorović, 5 October 2014
In the same year (2005), the same pattern was seen in Paris, at the Gay Pride 2005: https://commons.wikimedia.org/wiki/File:Association_conatct_gay_pride_2005.JPG. As the flags were hung vertically, it is difficult to say which side was meant to be at the top. Regardless of that, the pattern was clearly the same, and the shades seem to have been the same as well, or differed very little. Tomislav Todorovć, 30 January 2020
image by Tomislav Todorović, 1 July 2015
Another seven striped variant, with purple at the top and swapped places of dark and light blue (instead of indigo and turquoise) was seen in Chennai, India, at the Chennai Rainbow Pride 2012, as shown here, and again at the rally held for the International Day against Homophobia/Transphobia. Photo from the event can be seen here (image). Tomislav Todorović, 1 July 2015
Some variants of "unordered" seven-striped flags replace indigo and turquoise stripes with a single blue stripe, while a pink stripe is added between yellow and green. Such flags, with red at the top, were
used at Chennai Rainbow Pride 2011, as shown here, and again at Chennai Rainbow Pride 2012, with the photos available
here and here, and Chennai Rainbow Pride 2013, as shown here. Tomislav Todorović, 1 July 2015
image by Tomislav Todorović, 1 July 2015
Flags with the reversed color order (purple at the top) were used at Chennai Rainbow Pride 2014, with the photos available here and
here. Tomislav Todorović, 1 July 2015
image by Tomislav Todorović, 30 August 2015
Another seven-striped variant with pink and single blue stripes was seen at the annual Gay Pride in Entebbe, Uganda on 2015-08-08, as seen
here, here and
here. The color pattern was: red, orange, pink, green, yellow, blue, purple. While red and pink were rather dark, more than typically used, blue was very light - unusually light for the gay pride flags. Tomislav Todorović, 30 August 2015
The variant with violet moved to the opposite edge, next to red, all other colors keeping their usual order, was seen at Leeds Pride 2010.[1] While the photo does not reveal which side of the flag is up, the one from San Francisco, taken before the City Hall on 26 June 2015, clearly shows indigo at the top and violet at the bottom;[2] that particular flag copy may have been bearing some additional charges, part of which was in indigo. The same pattern was seen again at Pride London 2017; again, it is not possible to tell which side was up, for both available photos show the flag used as a canopy, first attached to an open car [3] and just standing in the open the other time.[4] Both photos were taken on the same date, at the same place, so it is possible that they display the same copy of the flag, although there are not enough elements to tell it with certainty. In fact, it is possible that the 2010 flag from Leeds was also used as a sort of canopy, although it is not visible enough to prove that.[1] Tomislav Todorović, 20 June 2020 Sources:
[1] Flickr - Photo from Leeds Pride, on 1 August 2010: https://www.flickr.com/photos/22179048@N05/4849931064/
[2] SFGATE website: https://www.sfgate.com/bayarea/article/Rainbow-flag-turns-40-Gilbert-Baker-pride-parade-13015011.php#photo-8251930 (NOTE: due to some unclear bug, the above address will not always lead directly to the "Image 23 of 38", but it can always be reached by clicking the arrow buttons as many times as necessary; when that is completed, the said address is displayed.)
[3] Flickr - Photo from Pride London, on 8 July 2017: https://www.flickr.com/photos/waterford_man/35138582614/
[4] Flickr - Photo from Pride London, on 8 July 2017: https://www.flickr.com/photos/waterford_man/35146426193/
The color pattern was: violet, pink, blue, yellow, red, green and orange. Most of the colors were much lighter than typically used. Two years later, a flag with the same pattern was used at the Pride event on 25 June 2016. The photo is available here: https://www.flickr.com/photos/9273571@N02/27299230334/.
This time, a number of silver stars, which cannot be determined from the photo, was placed upon the basic design, but the color pattern has remained the same, as well as the shades, and even the carrier seems to have been the same person, so it is possible that it was the same item from 2014, only modified by addition of the stars. Tomislav Todorović, 8 July 2021
image by Tomislav Todorović, 1 August 2021
A number of variations also exist which replace indigo and turquoise stripes with a single blue stripe, along with replacing a single violet stripe with two stripes in different shades of that color. A long row of such flags was photographed in India, in the town of Aluva, Kerala (Kochi metropolitan area), on 14 November 2012: https://www.flickr.com/photos/nagarjun/8260747200/. On these flags, a darker shade of violet was at the very bottom and the lighter shade was above it, next to the blue one. Tomislav Todorović, 1 August 2021
The change was in the position of pink stripe, which was moved to the bottom, beneath violet, red becoming the top one. Pink color was also in a darker shade - inclining towards magenta - while turquoise looked more like the sky blue. Most of other colors also varied somewhat, especially green, which was often rather dark, but could sometimes be very light, too. Tomislav Todorović, 25 August 2018